What is the Greatest Common Factor of 79956 and 79971?

Greatest common factor (GCF) of 79956 and 79971 is 3.

GCF(79956,79971) = 3

We will now calculate the prime factors of 79956 and 79971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79956 and 79971.

How to find the GCF of 79956 and 79971?

We will first find the prime factorization of 79956 and 79971. After we will calculate the factors of 79956 and 79971 and find the biggest common factor number .

Step-1: Prime Factorization of 79956

Prime factors of 79956 are 2, 3, 2221. Prime factorization of 79956 in exponential form is:

79956 = 2² × 3² × 2221¹

Step-2: Prime Factorization of 79971

Prime factors of 79971 are 3, 19, 23, 61. Prime factorization of 79971 in exponential form is:

79971 = 3¹ × 19¹ × 23¹ × 61¹

Step-3: Factors of 79956

List of positive integer factors of 79956 that divides 79956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2221, 4442, 6663, 8884, 13326, 19989, 26652, 39978

Step-4: Factors of 79971

List of positive integer factors of 79971 that divides 79956 without a remainder.

1, 3, 19, 23, 57, 61, 69, 183, 437, 1159, 1311, 1403, 3477, 4209, 26657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79956 and 79971. The biggest common factor number is the GCF number.
So the greatest common factor 79956 and 79971 is 3.

Also check out the Least Common Multiple of 79956 and 79971