What is the Greatest Common Factor of 2928 and 2939?

Greatest common factor (GCF) of 2928 and 2939 is 1.

GCF(2928,2939) = 1

We will now calculate the prime factors of 2928 and 2939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2928 and 2939.

How to find the GCF of 2928 and 2939?

We will first find the prime factorization of 2928 and 2939. After we will calculate the factors of 2928 and 2939 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2939

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 2939¹

Step-3: Factors of 2928

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

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

Step-4: Factors of 2939

List of positive integer factors of 2939 that divides 2928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2928 and 2939. The biggest common factor number is the GCF number.
So the greatest common factor 2928 and 2939 is 1.

Also check out the Least Common Multiple of 2928 and 2939