What is the Greatest Common Factor of 97114 and 97132?

Greatest common factor (GCF) of 97114 and 97132 is 2.

GCF(97114,97132) = 2

We will now calculate the prime factors of 97114 and 97132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97114 and 97132.

How to find the GCF of 97114 and 97132?

We will first find the prime factorization of 97114 and 97132. After we will calculate the factors of 97114 and 97132 and find the biggest common factor number .

Step-1: Prime Factorization of 97114

Prime factors of 97114 are 2, 59, 823. Prime factorization of 97114 in exponential form is:

97114 = 2¹ × 59¹ × 823¹

Step-2: Prime Factorization of 97132

Prime factors of 97132 are 2, 7, 3469. Prime factorization of 97132 in exponential form is:

97132 = 2² × 7¹ × 3469¹

Step-3: Factors of 97114

List of positive integer factors of 97114 that divides 97114 without a remainder.

1, 2, 59, 118, 823, 1646, 48557

Step-4: Factors of 97132

List of positive integer factors of 97132 that divides 97114 without a remainder.

1, 2, 4, 7, 14, 28, 3469, 6938, 13876, 24283, 48566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97114 and 97132. The biggest common factor number is the GCF number.
So the greatest common factor 97114 and 97132 is 2.

Also check out the Least Common Multiple of 97114 and 97132