What is the Greatest Common Factor of 79971 and 79983?

Greatest common factor (GCF) of 79971 and 79983 is 3.

GCF(79971,79983) = 3

We will now calculate the prime factors of 79971 and 79983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79971 and 79983.

How to find the GCF of 79971 and 79983?

We will first find the prime factorization of 79971 and 79983. After we will calculate the factors of 79971 and 79983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79983

Prime factors of 79983 are 3, 8887. Prime factorization of 79983 in exponential form is:

79983 = 3² × 8887¹

Step-3: Factors of 79971

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

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

Step-4: Factors of 79983

List of positive integer factors of 79983 that divides 79971 without a remainder.

1, 3, 9, 8887, 26661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79971 and 79983. The biggest common factor number is the GCF number.
So the greatest common factor 79971 and 79983 is 3.

Also check out the Least Common Multiple of 79971 and 79983