What is the Greatest Common Factor of 2928 and 2946?

Greatest common factor (GCF) of 2928 and 2946 is 6.

GCF(2928,2946) = 6

We will now calculate the prime factors of 2928 and 2946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2928 and 2946.

How to find the GCF of 2928 and 2946?

We will first find the prime factorization of 2928 and 2946. After we will calculate the factors of 2928 and 2946 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 2946

Prime factors of 2946 are 2, 3, 491. Prime factorization of 2946 in exponential form is:

2946 = 2¹ × 3¹ × 491¹

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 2946

List of positive integer factors of 2946 that divides 2928 without a remainder.

1, 2, 3, 6, 491, 982, 1473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2928 and 2946. The biggest common factor number is the GCF number.
So the greatest common factor 2928 and 2946 is 6.

Also check out the Least Common Multiple of 2928 and 2946