What is the Greatest Common Factor of 28964 and 28976?

Greatest common factor (GCF) of 28964 and 28976 is 4.

GCF(28964,28976) = 4

We will now calculate the prime factors of 28964 and 28976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28964 and 28976.

How to find the GCF of 28964 and 28976?

We will first find the prime factorization of 28964 and 28976. After we will calculate the factors of 28964 and 28976 and find the biggest common factor number .

Step-1: Prime Factorization of 28964

Prime factors of 28964 are 2, 13, 557. Prime factorization of 28964 in exponential form is:

28964 = 2² × 13¹ × 557¹

Step-2: Prime Factorization of 28976

Prime factors of 28976 are 2, 1811. Prime factorization of 28976 in exponential form is:

28976 = 2⁴ × 1811¹

Step-3: Factors of 28964

List of positive integer factors of 28964 that divides 28964 without a remainder.

1, 2, 4, 13, 26, 52, 557, 1114, 2228, 7241, 14482

Step-4: Factors of 28976

List of positive integer factors of 28976 that divides 28964 without a remainder.

1, 2, 4, 8, 16, 1811, 3622, 7244, 14488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28964 and 28976. The biggest common factor number is the GCF number.
So the greatest common factor 28964 and 28976 is 4.

Also check out the Least Common Multiple of 28964 and 28976