What is the Greatest Common Factor of 76976 and 76985?

Greatest common factor (GCF) of 76976 and 76985 is 1.

GCF(76976,76985) = 1

We will now calculate the prime factors of 76976 and 76985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76976 and 76985.

How to find the GCF of 76976 and 76985?

We will first find the prime factorization of 76976 and 76985. After we will calculate the factors of 76976 and 76985 and find the biggest common factor number .

Step-1: Prime Factorization of 76976

Prime factors of 76976 are 2, 17, 283. Prime factorization of 76976 in exponential form is:

76976 = 2⁴ × 17¹ × 283¹

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 76976

List of positive integer factors of 76976 that divides 76976 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 283, 566, 1132, 2264, 4528, 4811, 9622, 19244, 38488

Step-4: Factors of 76985

List of positive integer factors of 76985 that divides 76976 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76976 and 76985. The biggest common factor number is the GCF number.
So the greatest common factor 76976 and 76985 is 1.

Also check out the Least Common Multiple of 76976 and 76985