What is the Greatest Common Factor of 97156 and 97166?

Greatest common factor (GCF) of 97156 and 97166 is 2.

GCF(97156,97166) = 2

We will now calculate the prime factors of 97156 and 97166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97156 and 97166.

How to find the GCF of 97156 and 97166?

We will first find the prime factorization of 97156 and 97166. After we will calculate the factors of 97156 and 97166 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 97166

Prime factors of 97166 are 2, 19, 2557. Prime factorization of 97166 in exponential form is:

97166 = 2¹ × 19¹ × 2557¹

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 97166

List of positive integer factors of 97166 that divides 97156 without a remainder.

1, 2, 19, 38, 2557, 5114, 48583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97156 and 97166. The biggest common factor number is the GCF number.
So the greatest common factor 97156 and 97166 is 2.

Also check out the Least Common Multiple of 97156 and 97166