GCF of 1002 and 372

What is the GCF of 1002 and 372?


GCF of 1002 and 372

is 6

Formula How to

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What is the Greatest Common Factor of 1002 and 372? 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 1002 and 372 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 372.
    2, 2, 3, 31
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 372.
    1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 1002 and 372 is 6.

GCD (Greatest Common Divisor) of 1002 and 372 is 6.

HCF (Highest Common Factor) of 1002 and 372 is 6.

Number GCF LCM
1002 & 367 1 367734
1002 & 368 2 184368
1002 & 369 3 123246
1002 & 370 2 185370
1002 & 371 1 371742
1002 & 372 6 62124
1002 & 373 1 373746
1002 & 374 2 187374
1002 & 375 3 125250
1002 & 376 2 188376
1002 & 377 1 377754