What is the Greatest Common Factor of 97641 and 97657?

Greatest common factor (GCF) of 97641 and 97657 is 1.

GCF(97641,97657) = 1

We will now calculate the prime factors of 97641 and 97657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97641 and 97657.

How to find the GCF of 97641 and 97657?

We will first find the prime factorization of 97641 and 97657. After we will calculate the factors of 97641 and 97657 and find the biggest common factor number .

Step-1: Prime Factorization of 97641

Prime factors of 97641 are 3, 19, 571. Prime factorization of 97641 in exponential form is:

97641 = 3² × 19¹ × 571¹

Step-2: Prime Factorization of 97657

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

97657 = 7² × 1993¹

Step-3: Factors of 97641

List of positive integer factors of 97641 that divides 97641 without a remainder.

1, 3, 9, 19, 57, 171, 571, 1713, 5139, 10849, 32547

Step-4: Factors of 97657

List of positive integer factors of 97657 that divides 97641 without a remainder.

1, 7, 49, 1993, 13951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97641 and 97657. The biggest common factor number is the GCF number.
So the greatest common factor 97641 and 97657 is 1.

Also check out the Least Common Multiple of 97641 and 97657