What is the Greatest Common Factor of 79971 and 79979?

Greatest common factor (GCF) of 79971 and 79979 is 1.

GCF(79971,79979) = 1

We will now calculate the prime factors of 79971 and 79979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79971 and 79979.

How to find the GCF of 79971 and 79979?

We will first find the prime factorization of 79971 and 79979. After we will calculate the factors of 79971 and 79979 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 79979

Prime factors of 79979 are 79979. Prime factorization of 79979 in exponential form is:

79979 = 79979¹

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 79979

List of positive integer factors of 79979 that divides 79971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79971 and 79979. The biggest common factor number is the GCF number.
So the greatest common factor 79971 and 79979 is 1.

Also check out the Least Common Multiple of 79971 and 79979