What is the Greatest Common Factor of 2928 and 2940?

Greatest common factor (GCF) of 2928 and 2940 is 12.

GCF(2928,2940) = 12

We will now calculate the prime factors of 2928 and 2940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2928 and 2940.

How to find the GCF of 2928 and 2940?

We will first find the prime factorization of 2928 and 2940. After we will calculate the factors of 2928 and 2940 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 2940

Prime factors of 2940 are 2, 3, 5, 7. Prime factorization of 2940 in exponential form is:

2940 = 2² × 3¹ × 5¹ × 7²

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 2940

List of positive integer factors of 2940 that divides 2928 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2928 and 2940. The biggest common factor number is the GCF number.
So the greatest common factor 2928 and 2940 is 12.

Also check out the Least Common Multiple of 2928 and 2940