What is the Greatest Common Factor of 76976 and 76984?

Greatest common factor (GCF) of 76976 and 76984 is 8.

GCF(76976,76984) = 8

We will now calculate the prime factors of 76976 and 76984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76976 and 76984.

How to find the GCF of 76976 and 76984?

We will first find the prime factorization of 76976 and 76984. After we will calculate the factors of 76976 and 76984 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 76984

Prime factors of 76984 are 2, 9623. Prime factorization of 76984 in exponential form is:

76984 = 2³ × 9623¹

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 76984

List of positive integer factors of 76984 that divides 76976 without a remainder.

1, 2, 4, 8, 9623, 19246, 38492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76976 and 76984. The biggest common factor number is the GCF number.
So the greatest common factor 76976 and 76984 is 8.

Also check out the Least Common Multiple of 76976 and 76984