What is the Greatest Common Factor of 97640 and 97656?

Greatest common factor (GCF) of 97640 and 97656 is 8.

GCF(97640,97656) = 8

We will now calculate the prime factors of 97640 and 97656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97640 and 97656.

How to find the GCF of 97640 and 97656?

We will first find the prime factorization of 97640 and 97656. After we will calculate the factors of 97640 and 97656 and find the biggest common factor number .

Step-1: Prime Factorization of 97640

Prime factors of 97640 are 2, 5, 2441. Prime factorization of 97640 in exponential form is:

97640 = 2³ × 5¹ × 2441¹

Step-2: Prime Factorization of 97656

Prime factors of 97656 are 2, 3, 13, 313. Prime factorization of 97656 in exponential form is:

97656 = 2³ × 3¹ × 13¹ × 313¹

Step-3: Factors of 97640

List of positive integer factors of 97640 that divides 97640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2441, 4882, 9764, 12205, 19528, 24410, 48820

Step-4: Factors of 97656

List of positive integer factors of 97656 that divides 97640 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312, 313, 626, 939, 1252, 1878, 2504, 3756, 4069, 7512, 8138, 12207, 16276, 24414, 32552, 48828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97640 and 97656. The biggest common factor number is the GCF number.
So the greatest common factor 97640 and 97656 is 8.

Also check out the Least Common Multiple of 97640 and 97656