What is the Greatest Common Factor of 79926 and 79932?

Greatest common factor (GCF) of 79926 and 79932 is 6.

GCF(79926,79932) = 6

We will now calculate the prime factors of 79926 and 79932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79926 and 79932.

How to find the GCF of 79926 and 79932?

We will first find the prime factorization of 79926 and 79932. After we will calculate the factors of 79926 and 79932 and find the biggest common factor number .

Step-1: Prime Factorization of 79926

Prime factors of 79926 are 2, 3, 7, 11, 173. Prime factorization of 79926 in exponential form is:

79926 = 2¹ × 3¹ × 7¹ × 11¹ × 173¹

Step-2: Prime Factorization of 79932

Prime factors of 79932 are 2, 3, 6661. Prime factorization of 79932 in exponential form is:

79932 = 2² × 3¹ × 6661¹

Step-3: Factors of 79926

List of positive integer factors of 79926 that divides 79926 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 173, 231, 346, 462, 519, 1038, 1211, 1903, 2422, 3633, 3806, 5709, 7266, 11418, 13321, 26642, 39963

Step-4: Factors of 79932

List of positive integer factors of 79932 that divides 79926 without a remainder.

1, 2, 3, 4, 6, 12, 6661, 13322, 19983, 26644, 39966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79926 and 79932. The biggest common factor number is the GCF number.
So the greatest common factor 79926 and 79932 is 6.

Also check out the Least Common Multiple of 79926 and 79932