GCF of 10004 and 6672

What is the GCF of 10004 and 6672?

GCF of 10004 and 6672

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 10004 and 6672? 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 10004 and 6672 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10004.
    2, 2, 41, 61
  2. Find the prime factors of the second number 6672.
    2, 2, 2, 2, 3, 139
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 10004.
    1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004
  2. Find the factors of the second number 6672.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 10004 and 6672 is 4.

GCD (Greatest Common Divisor) of 10004 and 6672 is 4.

HCF (Highest Common Factor) of 10004 and 6672 is 4.

Number GCF LCM
10004 & 6667 1 66696668
10004 & 6668 4 16676668
10004 & 6669 1 66716676
10004 & 6670 2 33363340
10004 & 6671 1 66736684
10004 & 6672 4 16686672
10004 & 6673 1 66756692
10004 & 6674 2 33383348
10004 & 6675 1 66776700
10004 & 6676 4 16696676
10004 & 6677 1 66796708
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