What is the Greatest Common Factor of 97657 and 97664?

Greatest common factor (GCF) of 97657 and 97664 is 7.

GCF(97657,97664) = 7

We will now calculate the prime factors of 97657 and 97664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97657 and 97664.

How to find the GCF of 97657 and 97664?

We will first find the prime factorization of 97657 and 97664. After we will calculate the factors of 97657 and 97664 and find the biggest common factor number .

Step-1: Prime Factorization of 97657

Prime factors of 97657 are 7, 1993. Prime factorization of 97657 in exponential form is:

97657 = 7² × 1993¹

Step-2: Prime Factorization of 97664

Prime factors of 97664 are 2, 7, 109. Prime factorization of 97664 in exponential form is:

97664 = 2⁷ × 7¹ × 109¹

Step-3: Factors of 97657

List of positive integer factors of 97657 that divides 97657 without a remainder.

1, 7, 49, 1993, 13951

Step-4: Factors of 97664

List of positive integer factors of 97664 that divides 97657 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 128, 218, 224, 436, 448, 763, 872, 896, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 13952, 24416, 48832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97657 and 97664. The biggest common factor number is the GCF number.
So the greatest common factor 97657 and 97664 is 7.

Also check out the Least Common Multiple of 97657 and 97664