What is the Greatest Common Factor of 76959 and 76976?

Greatest common factor (GCF) of 76959 and 76976 is 17.

GCF(76959,76976) = 17

We will now calculate the prime factors of 76959 and 76976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76959 and 76976.

How to find the GCF of 76959 and 76976?

We will first find the prime factorization of 76959 and 76976. After we will calculate the factors of 76959 and 76976 and find the biggest common factor number .

Step-1: Prime Factorization of 76959

Prime factors of 76959 are 3, 17, 503. Prime factorization of 76959 in exponential form is:

76959 = 3² × 17¹ × 503¹

Step-2: 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-3: Factors of 76959

List of positive integer factors of 76959 that divides 76959 without a remainder.

1, 3, 9, 17, 51, 153, 503, 1509, 4527, 8551, 25653

Step-4: Factors of 76976

List of positive integer factors of 76976 that divides 76959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76959 and 76976. The biggest common factor number is the GCF number.
So the greatest common factor 76959 and 76976 is 17.

Also check out the Least Common Multiple of 76959 and 76976