What is the Greatest Common Factor of 96780 and 96795?

Greatest common factor (GCF) of 96780 and 96795 is 15.

GCF(96780,96795) = 15

We will now calculate the prime factors of 96780 and 96795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96780 and 96795.

How to find the GCF of 96780 and 96795?

We will first find the prime factorization of 96780 and 96795. After we will calculate the factors of 96780 and 96795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96795

Prime factors of 96795 are 3, 5, 239. Prime factorization of 96795 in exponential form is:

96795 = 3⁴ × 5¹ × 239¹

Step-3: Factors of 96780

List of positive integer factors of 96780 that divides 96780 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

Step-4: Factors of 96795

List of positive integer factors of 96795 that divides 96780 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 239, 405, 717, 1195, 2151, 3585, 6453, 10755, 19359, 32265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96780 and 96795. The biggest common factor number is the GCF number.
So the greatest common factor 96780 and 96795 is 15.

Also check out the Least Common Multiple of 96780 and 96795