What is the Greatest Common Factor of 4992 and 5004?

Greatest common factor (GCF) of 4992 and 5004 is 12.

GCF(4992,5004) = 12

We will now calculate the prime factors of 4992 and 5004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4992 and 5004.

How to find the GCF of 4992 and 5004?

We will first find the prime factorization of 4992 and 5004. After we will calculate the factors of 4992 and 5004 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5004

Prime factors of 5004 are 2, 3, 139. Prime factorization of 5004 in exponential form is:

5004 = 2² × 3² × 139¹

Step-3: Factors of 4992

List of positive integer factors of 4992 that divides 4992 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

Step-4: Factors of 5004

List of positive integer factors of 5004 that divides 4992 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4992 and 5004. The biggest common factor number is the GCF number.
So the greatest common factor 4992 and 5004 is 12.

Also check out the Least Common Multiple of 4992 and 5004