What is the Greatest Common Factor of 4976 and 4992?

Greatest common factor (GCF) of 4976 and 4992 is 16.

GCF(4976,4992) = 16

We will now calculate the prime factors of 4976 and 4992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4976 and 4992.

How to find the GCF of 4976 and 4992?

We will first find the prime factorization of 4976 and 4992. After we will calculate the factors of 4976 and 4992 and find the biggest common factor number .

Step-1: Prime Factorization of 4976

Prime factors of 4976 are 2, 311. Prime factorization of 4976 in exponential form is:

4976 = 2⁴ × 311¹

Step-2: Prime Factorization of 4992

Prime factors of 4992 are 2, 3, 13. Prime factorization of 4992 in exponential form is:

4992 = 2⁷ × 3¹ × 13¹

Step-3: Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1, 2, 4, 8, 16, 311, 622, 1244, 2488

Step-4: Factors of 4992

List of positive integer factors of 4992 that divides 4976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4976 and 4992. The biggest common factor number is the GCF number.
So the greatest common factor 4976 and 4992 is 16.

Also check out the Least Common Multiple of 4976 and 4992