What is the Greatest Common Factor of 76928 and 76946?

Greatest common factor (GCF) of 76928 and 76946 is 2.

GCF(76928,76946) = 2

We will now calculate the prime factors of 76928 and 76946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76928 and 76946.

How to find the GCF of 76928 and 76946?

We will first find the prime factorization of 76928 and 76946. After we will calculate the factors of 76928 and 76946 and find the biggest common factor number .

Step-1: Prime Factorization of 76928

Prime factors of 76928 are 2, 601. Prime factorization of 76928 in exponential form is:

76928 = 2⁷ × 601¹

Step-2: Prime Factorization of 76946

Prime factors of 76946 are 2, 79, 487. Prime factorization of 76946 in exponential form is:

76946 = 2¹ × 79¹ × 487¹

Step-3: Factors of 76928

List of positive integer factors of 76928 that divides 76928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 601, 1202, 2404, 4808, 9616, 19232, 38464

Step-4: Factors of 76946

List of positive integer factors of 76946 that divides 76928 without a remainder.

1, 2, 79, 158, 487, 974, 38473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76928 and 76946. The biggest common factor number is the GCF number.
So the greatest common factor 76928 and 76946 is 2.

Also check out the Least Common Multiple of 76928 and 76946