What is the Greatest Common Factor of 79915 and 79926?

Greatest common factor (GCF) of 79915 and 79926 is 11.

GCF(79915,79926) = 11

We will now calculate the prime factors of 79915 and 79926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79915 and 79926.

How to find the GCF of 79915 and 79926?

We will first find the prime factorization of 79915 and 79926. After we will calculate the factors of 79915 and 79926 and find the biggest common factor number .

Step-1: Prime Factorization of 79915

Prime factors of 79915 are 5, 11, 1453. Prime factorization of 79915 in exponential form is:

79915 = 5¹ × 11¹ × 1453¹

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 79915

List of positive integer factors of 79915 that divides 79915 without a remainder.

1, 5, 11, 55, 1453, 7265, 15983

Step-4: Factors of 79926

List of positive integer factors of 79926 that divides 79915 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 79915 and 79926. The biggest common factor number is the GCF number.
So the greatest common factor 79915 and 79926 is 11.

Also check out the Least Common Multiple of 79915 and 79926