What is the Greatest Common Factor of 76795 and 76815?

Greatest common factor (GCF) of 76795 and 76815 is 5.

GCF(76795,76815) = 5

We will now calculate the prime factors of 76795 and 76815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76795 and 76815.

How to find the GCF of 76795 and 76815?

We will first find the prime factorization of 76795 and 76815. After we will calculate the factors of 76795 and 76815 and find the biggest common factor number .

Step-1: Prime Factorization of 76795

Prime factors of 76795 are 5, 15359. Prime factorization of 76795 in exponential form is:

76795 = 5¹ × 15359¹

Step-2: Prime Factorization of 76815

Prime factors of 76815 are 3, 5, 569. Prime factorization of 76815 in exponential form is:

76815 = 3³ × 5¹ × 569¹

Step-3: Factors of 76795

List of positive integer factors of 76795 that divides 76795 without a remainder.

1, 5, 15359

Step-4: Factors of 76815

List of positive integer factors of 76815 that divides 76795 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 569, 1707, 2845, 5121, 8535, 15363, 25605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76795 and 76815. The biggest common factor number is the GCF number.
So the greatest common factor 76795 and 76815 is 5.

Also check out the Least Common Multiple of 76795 and 76815