What is the Greatest Common Factor of 97121 and 97138?

Greatest common factor (GCF) of 97121 and 97138 is 17.

GCF(97121,97138) = 17

We will now calculate the prime factors of 97121 and 97138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97121 and 97138.

How to find the GCF of 97121 and 97138?

We will first find the prime factorization of 97121 and 97138. After we will calculate the factors of 97121 and 97138 and find the biggest common factor number .

Step-1: Prime Factorization of 97121

Prime factors of 97121 are 17, 29, 197. Prime factorization of 97121 in exponential form is:

97121 = 17¹ × 29¹ × 197¹

Step-2: 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-3: Factors of 97121

List of positive integer factors of 97121 that divides 97121 without a remainder.

1, 17, 29, 197, 493, 3349, 5713

Step-4: Factors of 97138

List of positive integer factors of 97138 that divides 97121 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97121 and 97138. The biggest common factor number is the GCF number.
So the greatest common factor 97121 and 97138 is 17.

Also check out the Least Common Multiple of 97121 and 97138