What is the Greatest Common Factor of 2928 and 2947?

Greatest common factor (GCF) of 2928 and 2947 is 1.

GCF(2928,2947) = 1

We will now calculate the prime factors of 2928 and 2947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2928 and 2947.

How to find the GCF of 2928 and 2947?

We will first find the prime factorization of 2928 and 2947. After we will calculate the factors of 2928 and 2947 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 2947

Prime factors of 2947 are 7, 421. Prime factorization of 2947 in exponential form is:

2947 = 7¹ × 421¹

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 2947

List of positive integer factors of 2947 that divides 2928 without a remainder.

1, 7, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2928 and 2947. The biggest common factor number is the GCF number.
So the greatest common factor 2928 and 2947 is 1.

Also check out the Least Common Multiple of 2928 and 2947