What is the Greatest Common Factor of 97156 and 97171?

Greatest common factor (GCF) of 97156 and 97171 is 1.

GCF(97156,97171) = 1

We will now calculate the prime factors of 97156 and 97171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97156 and 97171.

How to find the GCF of 97156 and 97171?

We will first find the prime factorization of 97156 and 97171. After we will calculate the factors of 97156 and 97171 and find the biggest common factor number .

Step-1: Prime Factorization of 97156

Prime factors of 97156 are 2, 107, 227. Prime factorization of 97156 in exponential form is:

97156 = 2² × 107¹ × 227¹

Step-2: Prime Factorization of 97171

Prime factors of 97171 are 97171. Prime factorization of 97171 in exponential form is:

97171 = 97171¹

Step-3: Factors of 97156

List of positive integer factors of 97156 that divides 97156 without a remainder.

1, 2, 4, 107, 214, 227, 428, 454, 908, 24289, 48578

Step-4: Factors of 97171

List of positive integer factors of 97171 that divides 97156 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97156 and 97171. The biggest common factor number is the GCF number.
So the greatest common factor 97156 and 97171 is 1.

Also check out the Least Common Multiple of 97156 and 97171