What is the Greatest Common Factor of 96770 and 96775?

Greatest common factor (GCF) of 96770 and 96775 is 5.

GCF(96770,96775) = 5

We will now calculate the prime factors of 96770 and 96775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96770 and 96775.

How to find the GCF of 96770 and 96775?

We will first find the prime factorization of 96770 and 96775. After we will calculate the factors of 96770 and 96775 and find the biggest common factor number .

Step-1: Prime Factorization of 96770

Prime factors of 96770 are 2, 5, 9677. Prime factorization of 96770 in exponential form is:

96770 = 2¹ × 5¹ × 9677¹

Step-2: Prime Factorization of 96775

Prime factors of 96775 are 5, 7, 79. Prime factorization of 96775 in exponential form is:

96775 = 5² × 7² × 79¹

Step-3: Factors of 96770

List of positive integer factors of 96770 that divides 96770 without a remainder.

1, 2, 5, 10, 9677, 19354, 48385

Step-4: Factors of 96775

List of positive integer factors of 96775 that divides 96770 without a remainder.

1, 5, 7, 25, 35, 49, 79, 175, 245, 395, 553, 1225, 1975, 2765, 3871, 13825, 19355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96770 and 96775. The biggest common factor number is the GCF number.
So the greatest common factor 96770 and 96775 is 5.

Also check out the Least Common Multiple of 96770 and 96775