What is the Greatest Common Factor of 28944 and 28964?

Greatest common factor (GCF) of 28944 and 28964 is 4.

GCF(28944,28964) = 4

We will now calculate the prime factors of 28944 and 28964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28944 and 28964.

How to find the GCF of 28944 and 28964?

We will first find the prime factorization of 28944 and 28964. After we will calculate the factors of 28944 and 28964 and find the biggest common factor number .

Step-1: Prime Factorization of 28944

Prime factors of 28944 are 2, 3, 67. Prime factorization of 28944 in exponential form is:

28944 = 2⁴ × 3³ × 67¹

Step-2: 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-3: Factors of 28944

List of positive integer factors of 28944 that divides 28944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 108, 134, 144, 201, 216, 268, 402, 432, 536, 603, 804, 1072, 1206, 1608, 1809, 2412, 3216, 3618, 4824, 7236, 9648, 14472

Step-4: Factors of 28964

List of positive integer factors of 28964 that divides 28944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28944 and 28964. The biggest common factor number is the GCF number.
So the greatest common factor 28944 and 28964 is 4.

Also check out the Least Common Multiple of 28944 and 28964