GCF of 10004 and 8438

What is the GCF of 10004 and 8438?


GCF of 10004 and 8438

is 2

Formula How to

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What is the Greatest Common Factor of 10004 and 8438? 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 8438 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 8438.
    2, 4219
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

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 8438.
    1, 2, 4219, 8438
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 10004 and 8438 is 2.

GCD (Greatest Common Divisor) of 10004 and 8438 is 2.

HCF (Highest Common Factor) of 10004 and 8438 is 2.

Number GCF LCM
10004 & 8433 1 84363732
10004 & 8434 2 42186868
10004 & 8435 1 84383740
10004 & 8436 4 21098436
10004 & 8437 1 84403748
10004 & 8438 2 42206876
10004 & 8439 1 84423756
10004 & 8440 4 21108440
10004 & 8441 1 84443764
10004 & 8442 2 42226884
10004 & 8443 1 84463772