What is the Greatest Common Factor of 79962 and 79971?

Greatest common factor (GCF) of 79962 and 79971 is 3.

GCF(79962,79971) = 3

We will now calculate the prime factors of 79962 and 79971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79962 and 79971.

How to find the GCF of 79962 and 79971?

We will first find the prime factorization of 79962 and 79971. After we will calculate the factors of 79962 and 79971 and find the biggest common factor number .

Step-1: Prime Factorization of 79962

Prime factors of 79962 are 2, 3, 13327. Prime factorization of 79962 in exponential form is:

79962 = 2¹ × 3¹ × 13327¹

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 79962

List of positive integer factors of 79962 that divides 79962 without a remainder.

1, 2, 3, 6, 13327, 26654, 39981

Step-4: Factors of 79971

List of positive integer factors of 79971 that divides 79962 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 79962 and 79971. The biggest common factor number is the GCF number.
So the greatest common factor 79962 and 79971 is 3.

Also check out the Least Common Multiple of 79962 and 79971