What is the Greatest Common Factor of 76683 and 76695?

Greatest common factor (GCF) of 76683 and 76695 is 3.

GCF(76683,76695) = 3

We will now calculate the prime factors of 76683 and 76695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76683 and 76695.

How to find the GCF of 76683 and 76695?

We will first find the prime factorization of 76683 and 76695. After we will calculate the factors of 76683 and 76695 and find the biggest common factor number .

Step-1: Prime Factorization of 76683

Prime factors of 76683 are 3, 25561. Prime factorization of 76683 in exponential form is:

76683 = 3¹ × 25561¹

Step-2: Prime Factorization of 76695

Prime factors of 76695 are 3, 5, 5113. Prime factorization of 76695 in exponential form is:

76695 = 3¹ × 5¹ × 5113¹

Step-3: Factors of 76683

List of positive integer factors of 76683 that divides 76683 without a remainder.

1, 3, 25561

Step-4: Factors of 76695

List of positive integer factors of 76695 that divides 76683 without a remainder.

1, 3, 5, 15, 5113, 15339, 25565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76683 and 76695. The biggest common factor number is the GCF number.
So the greatest common factor 76683 and 76695 is 3.

Also check out the Least Common Multiple of 76683 and 76695