What is the Greatest Common Factor of 97108 and 97114?

Greatest common factor (GCF) of 97108 and 97114 is 2.

GCF(97108,97114) = 2

We will now calculate the prime factors of 97108 and 97114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97108 and 97114.

How to find the GCF of 97108 and 97114?

We will first find the prime factorization of 97108 and 97114. After we will calculate the factors of 97108 and 97114 and find the biggest common factor number .

Step-1: Prime Factorization of 97108

Prime factors of 97108 are 2, 11, 2207. Prime factorization of 97108 in exponential form is:

97108 = 2² × 11¹ × 2207¹

Step-2: 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-3: Factors of 97108

List of positive integer factors of 97108 that divides 97108 without a remainder.

1, 2, 4, 11, 22, 44, 2207, 4414, 8828, 24277, 48554

Step-4: Factors of 97114

List of positive integer factors of 97114 that divides 97108 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97108 and 97114. The biggest common factor number is the GCF number.
So the greatest common factor 97108 and 97114 is 2.

Also check out the Least Common Multiple of 97108 and 97114