GCF of 10008 and 3681

What is the GCF of 10008 and 3681?


GCF of 10008 and 3681

is 9

Formula How to

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What is the Greatest Common Factor of 10008 and 3681? 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 3681 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 3681.
    3, 3, 409
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

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 3681.
    1, 3, 9, 409, 1227, 3681
  3. The biggest common factor number is the GCF value. Which is,
    9

Number GCF LCM
10008 & 3676 4 9197352
10008 & 3677 1 36799416
10008 & 3678 6 6134904
10008 & 3679 1 36819432
10008 & 3680 8 4603680
10008 & 3681 9 4093272
10008 & 3682 2 18424728
10008 & 3683 1 36859464
10008 & 3684 12 3072456
10008 & 3685 1 36879480
10008 & 3686 2 18444744

GCF (Greatest Common Factor) of 10008 and 3681 is 9.

GCD (Greatest Common Divisor) of 10008 and 3681 is 9.

HCF (Highest Common Factor) of 10008 and 3681 is 9.