What is the Greatest Common Factor of 79804 and 79812?

Greatest common factor (GCF) of 79804 and 79812 is 4.

GCF(79804,79812) = 4

We will now calculate the prime factors of 79804 and 79812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79804 and 79812.

How to find the GCF of 79804 and 79812?

We will first find the prime factorization of 79804 and 79812. After we will calculate the factors of 79804 and 79812 and find the biggest common factor number .

Step-1: Prime Factorization of 79804

Prime factors of 79804 are 2, 71, 281. Prime factorization of 79804 in exponential form is:

79804 = 2² × 71¹ × 281¹

Step-2: Prime Factorization of 79812

Prime factors of 79812 are 2, 3, 739. Prime factorization of 79812 in exponential form is:

79812 = 2² × 3³ × 739¹

Step-3: Factors of 79804

List of positive integer factors of 79804 that divides 79804 without a remainder.

1, 2, 4, 71, 142, 281, 284, 562, 1124, 19951, 39902

Step-4: Factors of 79812

List of positive integer factors of 79812 that divides 79804 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 739, 1478, 2217, 2956, 4434, 6651, 8868, 13302, 19953, 26604, 39906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79804 and 79812. The biggest common factor number is the GCF number.
So the greatest common factor 79804 and 79812 is 4.

Also check out the Least Common Multiple of 79804 and 79812