What is the Greatest Common Factor of 80971 and 80979?

Greatest common factor (GCF) of 80971 and 80979 is 1.

GCF(80971,80979) = 1

We will now calculate the prime factors of 80971 and 80979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80971 and 80979.

How to find the GCF of 80971 and 80979?

We will first find the prime factorization of 80971 and 80979. After we will calculate the factors of 80971 and 80979 and find the biggest common factor number .

Step-1: Prime Factorization of 80971

Prime factors of 80971 are 11, 17, 433. Prime factorization of 80971 in exponential form is:

80971 = 11¹ × 17¹ × 433¹

Step-2: Prime Factorization of 80979

Prime factors of 80979 are 3, 26993. Prime factorization of 80979 in exponential form is:

80979 = 3¹ × 26993¹

Step-3: Factors of 80971

List of positive integer factors of 80971 that divides 80971 without a remainder.

1, 11, 17, 187, 433, 4763, 7361

Step-4: Factors of 80979

List of positive integer factors of 80979 that divides 80971 without a remainder.

1, 3, 26993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80971 and 80979. The biggest common factor number is the GCF number.
So the greatest common factor 80971 and 80979 is 1.

Also check out the Least Common Multiple of 80971 and 80979