What is the Greatest Common Factor of 4980 and 4992?

Greatest common factor (GCF) of 4980 and 4992 is 12.

GCF(4980,4992) = 12

We will now calculate the prime factors of 4980 and 4992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4980 and 4992.

How to find the GCF of 4980 and 4992?

We will first find the prime factorization of 4980 and 4992. After we will calculate the factors of 4980 and 4992 and find the biggest common factor number .

Step-1: Prime Factorization of 4980

Prime factors of 4980 are 2, 3, 5, 83. Prime factorization of 4980 in exponential form is:

4980 = 2² × 3¹ × 5¹ × 83¹

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 4980

List of positive integer factors of 4980 that divides 4980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490

Step-4: Factors of 4992

List of positive integer factors of 4992 that divides 4980 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 4980 and 4992. The biggest common factor number is the GCF number.
So the greatest common factor 4980 and 4992 is 12.

Also check out the Least Common Multiple of 4980 and 4992