What is the Greatest Common Factor of 2914 and 2928?

Greatest common factor (GCF) of 2914 and 2928 is 2.

GCF(2914,2928) = 2

We will now calculate the prime factors of 2914 and 2928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2914 and 2928.

How to find the GCF of 2914 and 2928?

We will first find the prime factorization of 2914 and 2928. After we will calculate the factors of 2914 and 2928 and find the biggest common factor number .

Step-1: Prime Factorization of 2914

Prime factors of 2914 are 2, 31, 47. Prime factorization of 2914 in exponential form is:

2914 = 2¹ × 31¹ × 47¹

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 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1, 2, 31, 47, 62, 94, 1457

Step-4: Factors of 2928

List of positive integer factors of 2928 that divides 2914 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 2914 and 2928. The biggest common factor number is the GCF number.
So the greatest common factor 2914 and 2928 is 2.

Also check out the Least Common Multiple of 2914 and 2928