What is the Greatest Common Factor of 28964 and 28984?

Greatest common factor (GCF) of 28964 and 28984 is 4.

GCF(28964,28984) = 4

We will now calculate the prime factors of 28964 and 28984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28964 and 28984.

How to find the GCF of 28964 and 28984?

We will first find the prime factorization of 28964 and 28984. After we will calculate the factors of 28964 and 28984 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 28984

Prime factors of 28984 are 2, 3623. Prime factorization of 28984 in exponential form is:

28984 = 2³ × 3623¹

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 28984

List of positive integer factors of 28984 that divides 28964 without a remainder.

1, 2, 4, 8, 3623, 7246, 14492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28964 and 28984. The biggest common factor number is the GCF number.
So the greatest common factor 28964 and 28984 is 4.

Also check out the Least Common Multiple of 28964 and 28984