What is the Greatest Common Factor of 97138 and 97156?

Greatest common factor (GCF) of 97138 and 97156 is 2.

GCF(97138,97156) = 2

We will now calculate the prime factors of 97138 and 97156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97138 and 97156.

How to find the GCF of 97138 and 97156?

We will first find the prime factorization of 97138 and 97156. After we will calculate the factors of 97138 and 97156 and find the biggest common factor number .

Step-1: Prime Factorization of 97138

Prime factors of 97138 are 2, 17, 2857. Prime factorization of 97138 in exponential form is:

97138 = 2¹ × 17¹ × 2857¹

Step-2: 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-3: Factors of 97138

List of positive integer factors of 97138 that divides 97138 without a remainder.

1, 2, 17, 34, 2857, 5714, 48569

Step-4: Factors of 97156

List of positive integer factors of 97156 that divides 97138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97138 and 97156. The biggest common factor number is the GCF number.
So the greatest common factor 97138 and 97156 is 2.

Also check out the Least Common Multiple of 97138 and 97156