What is the Greatest Common Factor of 84971 and 84991?

Greatest common factor (GCF) of 84971 and 84991 is 1.

GCF(84971,84991) = 1

We will now calculate the prime factors of 84971 and 84991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84971 and 84991.

How to find the GCF of 84971 and 84991?

We will first find the prime factorization of 84971 and 84991. After we will calculate the factors of 84971 and 84991 and find the biggest common factor number .

Step-1: Prime Factorization of 84971

Prime factors of 84971 are 31, 2741. Prime factorization of 84971 in exponential form is:

84971 = 31¹ × 2741¹

Step-2: Prime Factorization of 84991

Prime factors of 84991 are 84991. Prime factorization of 84991 in exponential form is:

84991 = 84991¹

Step-3: Factors of 84971

List of positive integer factors of 84971 that divides 84971 without a remainder.

1, 31, 2741

Step-4: Factors of 84991

List of positive integer factors of 84991 that divides 84971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84971 and 84991. The biggest common factor number is the GCF number.
So the greatest common factor 84971 and 84991 is 1.

Also check out the Least Common Multiple of 84971 and 84991