What is the Greatest Common Factor of 2912 and 2928?

Greatest common factor (GCF) of 2912 and 2928 is 16.

GCF(2912,2928) = 16

We will now calculate the prime factors of 2912 and 2928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2912 and 2928.

How to find the GCF of 2912 and 2928?

We will first find the prime factorization of 2912 and 2928. After we will calculate the factors of 2912 and 2928 and find the biggest common factor number .

Step-1: Prime Factorization of 2912

Prime factors of 2912 are 2, 7, 13. Prime factorization of 2912 in exponential form is:

2912 = 2⁵ × 7¹ × 13¹

Step-2: Prime Factorization of 2928

Prime factors of 2928 are 2, 3, 61. Prime factorization of 2928 in exponential form is:

2928 = 2⁴ × 3¹ × 61¹

Step-3: Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456

Step-4: Factors of 2928

List of positive integer factors of 2928 that divides 2912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2912 and 2928. The biggest common factor number is the GCF number.
So the greatest common factor 2912 and 2928 is 16.

Also check out the Least Common Multiple of 2912 and 2928