What is the Greatest Common Factor of 76972 and 76976?

Greatest common factor (GCF) of 76972 and 76976 is 4.

GCF(76972,76976) = 4

We will now calculate the prime factors of 76972 and 76976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76972 and 76976.

How to find the GCF of 76972 and 76976?

We will first find the prime factorization of 76972 and 76976. After we will calculate the factors of 76972 and 76976 and find the biggest common factor number .

Step-1: Prime Factorization of 76972

Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:

76972 = 2² × 7¹ × 2749¹

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 76972

List of positive integer factors of 76972 that divides 76972 without a remainder.

1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486

Step-4: Factors of 76976

List of positive integer factors of 76976 that divides 76972 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 76972 and 76976. The biggest common factor number is the GCF number.
So the greatest common factor 76972 and 76976 is 4.

Also check out the Least Common Multiple of 76972 and 76976