What is the Greatest Common Factor of 79926 and 79941?

Greatest common factor (GCF) of 79926 and 79941 is 3.

GCF(79926,79941) = 3

We will now calculate the prime factors of 79926 and 79941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79926 and 79941.

How to find the GCF of 79926 and 79941?

We will first find the prime factorization of 79926 and 79941. After we will calculate the factors of 79926 and 79941 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 79941

Prime factors of 79941 are 3, 26647. Prime factorization of 79941 in exponential form is:

79941 = 3¹ × 26647¹

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 79941

List of positive integer factors of 79941 that divides 79926 without a remainder.

1, 3, 26647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79926 and 79941. The biggest common factor number is the GCF number.
So the greatest common factor 79926 and 79941 is 3.

Also check out the Least Common Multiple of 79926 and 79941