What is the Greatest Common Factor of 79921 and 79931?

Greatest common factor (GCF) of 79921 and 79931 is 1.

GCF(79921,79931) = 1

We will now calculate the prime factors of 79921 and 79931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79921 and 79931.

How to find the GCF of 79921 and 79931?

We will first find the prime factorization of 79921 and 79931. After we will calculate the factors of 79921 and 79931 and find the biggest common factor number .

Step-1: Prime Factorization of 79921

Prime factors of 79921 are 229, 349. Prime factorization of 79921 in exponential form is:

79921 = 229¹ × 349¹

Step-2: Prime Factorization of 79931

Prime factors of 79931 are 67, 1193. Prime factorization of 79931 in exponential form is:

79931 = 67¹ × 1193¹

Step-3: Factors of 79921

List of positive integer factors of 79921 that divides 79921 without a remainder.

1, 229, 349

Step-4: Factors of 79931

List of positive integer factors of 79931 that divides 79921 without a remainder.

1, 67, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79921 and 79931. The biggest common factor number is the GCF number.
So the greatest common factor 79921 and 79931 is 1.

Also check out the Least Common Multiple of 79921 and 79931