GCF of 10008 and 4371

What is the GCF of 10008 and 4371?


GCF of 10008 and 4371

is 3

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What is the Greatest Common Factor of 10008 and 4371? 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 4371 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 4371.
    3, 31, 47
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 4371.
    1, 3, 31, 47, 93, 141, 1457, 4371
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 10008 and 4371 is 3.

GCD (Greatest Common Divisor) of 10008 and 4371 is 3.

HCF (Highest Common Factor) of 10008 and 4371 is 3.

Number GCF LCM
10008 & 4366 2 21847464
10008 & 4367 1 43704936
10008 & 4368 24 1821456
10008 & 4369 1 43724952
10008 & 4370 2 21867480
10008 & 4371 3 14581656
10008 & 4372 4 10938744
10008 & 4373 1 43764984
10008 & 4374 18 2431944
10008 & 4375 1 43785000
10008 & 4376 8 5474376