What is the Greatest Common Factor of 79949 and 79964?

Greatest common factor (GCF) of 79949 and 79964 is 1.

GCF(79949,79964) = 1

We will now calculate the prime factors of 79949 and 79964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79949 and 79964.

How to find the GCF of 79949 and 79964?

We will first find the prime factorization of 79949 and 79964. After we will calculate the factors of 79949 and 79964 and find the biggest common factor number .

Step-1: Prime Factorization of 79949

Prime factors of 79949 are 31, 2579. Prime factorization of 79949 in exponential form is:

79949 = 31¹ × 2579¹

Step-2: Prime Factorization of 79964

Prime factors of 79964 are 2, 19991. Prime factorization of 79964 in exponential form is:

79964 = 2² × 19991¹

Step-3: Factors of 79949

List of positive integer factors of 79949 that divides 79949 without a remainder.

1, 31, 2579

Step-4: Factors of 79964

List of positive integer factors of 79964 that divides 79949 without a remainder.

1, 2, 4, 19991, 39982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79949 and 79964. The biggest common factor number is the GCF number.
So the greatest common factor 79949 and 79964 is 1.

Also check out the Least Common Multiple of 79949 and 79964