GCF of 10008 and 9360

What is the GCF of 10008 and 9360?

GCF of 10008 and 9360

is 72

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 10008 and 9360? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 10008 and 9360 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10008.
    2, 2, 2, 3, 3, 139
  2. Find the prime factors of the second number 9360.
    2, 2, 2, 2, 3, 3, 5, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    72

Factors Method:

  1. Find the factors of the first number 10008.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008
  2. Find the factors of the second number 9360.
    1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360
  3. The biggest common factor number is the GCF value. Which is,
    72

GCF (Greatest Common Factor) of 10008 and 9360 is 72.

GCD (Greatest Common Divisor) of 10008 and 9360 is 72.

HCF (Highest Common Factor) of 10008 and 9360 is 72.

Number GCF LCM
10008 & 9355 1 93624840
10008 & 9356 4 23408712
10008 & 9357 3 31214952
10008 & 9358 2 46827432
10008 & 9359 1 93664872
10008 & 9360 72 1301040
10008 & 9361 1 93684888
10008 & 9362 2 46847448
10008 & 9363 3 31234968
10008 & 9364 4 23428728
10008 & 9365 1 93724920
Calculations