What is the Greatest Common Factor of 79912 and 79926?

Greatest common factor (GCF) of 79912 and 79926 is 14.

GCF(79912,79926) = 14

We will now calculate the prime factors of 79912 and 79926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79912 and 79926.

How to find the GCF of 79912 and 79926?

We will first find the prime factorization of 79912 and 79926. After we will calculate the factors of 79912 and 79926 and find the biggest common factor number .

Step-1: Prime Factorization of 79912

Prime factors of 79912 are 2, 7, 1427. Prime factorization of 79912 in exponential form is:

79912 = 2³ × 7¹ × 1427¹

Step-2: 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-3: Factors of 79912

List of positive integer factors of 79912 that divides 79912 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1427, 2854, 5708, 9989, 11416, 19978, 39956

Step-4: Factors of 79926

List of positive integer factors of 79926 that divides 79912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79912 and 79926. The biggest common factor number is the GCF number.
So the greatest common factor 79912 and 79926 is 14.

Also check out the Least Common Multiple of 79912 and 79926