What is the Greatest Common Factor of 76980 and 76985?

Greatest common factor (GCF) of 76980 and 76985 is 5.

GCF(76980,76985) = 5

We will now calculate the prime factors of 76980 and 76985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76980 and 76985.

How to find the GCF of 76980 and 76985?

We will first find the prime factorization of 76980 and 76985. After we will calculate the factors of 76980 and 76985 and find the biggest common factor number .

Step-1: Prime Factorization of 76980

Prime factors of 76980 are 2, 3, 5, 1283. Prime factorization of 76980 in exponential form is:

76980 = 2² × 3¹ × 5¹ × 1283¹

Step-2: Prime Factorization of 76985

Prime factors of 76985 are 5, 89, 173. Prime factorization of 76985 in exponential form is:

76985 = 5¹ × 89¹ × 173¹

Step-3: Factors of 76980

List of positive integer factors of 76980 that divides 76980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1283, 2566, 3849, 5132, 6415, 7698, 12830, 15396, 19245, 25660, 38490

Step-4: Factors of 76985

List of positive integer factors of 76985 that divides 76980 without a remainder.

1, 5, 89, 173, 445, 865, 15397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76980 and 76985. The biggest common factor number is the GCF number.
So the greatest common factor 76980 and 76985 is 5.

Also check out the Least Common Multiple of 76980 and 76985