What is the Greatest Common Factor of 96775 and 96780?

Greatest common factor (GCF) of 96775 and 96780 is 5.

GCF(96775,96780) = 5

We will now calculate the prime factors of 96775 and 96780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96775 and 96780.

How to find the GCF of 96775 and 96780?

We will first find the prime factorization of 96775 and 96780. After we will calculate the factors of 96775 and 96780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96780

Prime factors of 96780 are 2, 3, 5, 1613. Prime factorization of 96780 in exponential form is:

96780 = 2² × 3¹ × 5¹ × 1613¹

Step-3: Factors of 96775

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

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

Step-4: Factors of 96780

List of positive integer factors of 96780 that divides 96775 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1613, 3226, 4839, 6452, 8065, 9678, 16130, 19356, 24195, 32260, 48390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96775 and 96780. The biggest common factor number is the GCF number.
So the greatest common factor 96775 and 96780 is 5.

Also check out the Least Common Multiple of 96775 and 96780