What is the Greatest Common Factor of 79971 and 79991?

Greatest common factor (GCF) of 79971 and 79991 is 1.

GCF(79971,79991) = 1

We will now calculate the prime factors of 79971 and 79991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79971 and 79991.

How to find the GCF of 79971 and 79991?

We will first find the prime factorization of 79971 and 79991. After we will calculate the factors of 79971 and 79991 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 79991

Prime factors of 79991 are 41, 1951. Prime factorization of 79991 in exponential form is:

79991 = 41¹ × 1951¹

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 79991

List of positive integer factors of 79991 that divides 79971 without a remainder.

1, 41, 1951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79971 and 79991. The biggest common factor number is the GCF number.
So the greatest common factor 79971 and 79991 is 1.

Also check out the Least Common Multiple of 79971 and 79991