What is the Greatest Common Factor of 76689 and 76708?

Greatest common factor (GCF) of 76689 and 76708 is 1.

GCF(76689,76708) = 1

We will now calculate the prime factors of 76689 and 76708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76689 and 76708.

How to find the GCF of 76689 and 76708?

We will first find the prime factorization of 76689 and 76708. After we will calculate the factors of 76689 and 76708 and find the biggest common factor number .

Step-1: Prime Factorization of 76689

Prime factors of 76689 are 3, 8521. Prime factorization of 76689 in exponential form is:

76689 = 3² × 8521¹

Step-2: Prime Factorization of 76708

Prime factors of 76708 are 2, 127, 151. Prime factorization of 76708 in exponential form is:

76708 = 2² × 127¹ × 151¹

Step-3: Factors of 76689

List of positive integer factors of 76689 that divides 76689 without a remainder.

1, 3, 9, 8521, 25563

Step-4: Factors of 76708

List of positive integer factors of 76708 that divides 76689 without a remainder.

1, 2, 4, 127, 151, 254, 302, 508, 604, 19177, 38354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76689 and 76708. The biggest common factor number is the GCF number.
So the greatest common factor 76689 and 76708 is 1.

Also check out the Least Common Multiple of 76689 and 76708