What is the Greatest Common Factor of 79926 and 79937?

Greatest common factor (GCF) of 79926 and 79937 is 11.

GCF(79926,79937) = 11

We will now calculate the prime factors of 79926 and 79937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79926 and 79937.

How to find the GCF of 79926 and 79937?

We will first find the prime factorization of 79926 and 79937. After we will calculate the factors of 79926 and 79937 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 79937

Prime factors of 79937 are 11, 13, 43. Prime factorization of 79937 in exponential form is:

79937 = 11¹ × 13² × 43¹

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 79937

List of positive integer factors of 79937 that divides 79926 without a remainder.

1, 11, 13, 43, 143, 169, 473, 559, 1859, 6149, 7267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79926 and 79937. The biggest common factor number is the GCF number.
So the greatest common factor 79926 and 79937 is 11.

Also check out the Least Common Multiple of 79926 and 79937