What is the Greatest Common Factor of 62976 and 62988?

Greatest common factor (GCF) of 62976 and 62988 is 12.

GCF(62976,62988) = 12

We will now calculate the prime factors of 62976 and 62988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62976 and 62988.

How to find the GCF of 62976 and 62988?

We will first find the prime factorization of 62976 and 62988. After we will calculate the factors of 62976 and 62988 and find the biggest common factor number .

Step-1: Prime Factorization of 62976

Prime factors of 62976 are 2, 3, 41. Prime factorization of 62976 in exponential form is:

62976 = 2⁹ × 3¹ × 41¹

Step-2: Prime Factorization of 62988

Prime factors of 62988 are 2, 3, 29, 181. Prime factorization of 62988 in exponential form is:

62988 = 2² × 3¹ × 29¹ × 181¹

Step-3: Factors of 62976

List of positive integer factors of 62976 that divides 62976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 256, 328, 384, 492, 512, 656, 768, 984, 1312, 1536, 1968, 2624, 3936, 5248, 7872, 10496, 15744, 20992, 31488

Step-4: Factors of 62988

List of positive integer factors of 62988 that divides 62976 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 181, 348, 362, 543, 724, 1086, 2172, 5249, 10498, 15747, 20996, 31494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62976 and 62988. The biggest common factor number is the GCF number.
So the greatest common factor 62976 and 62988 is 12.

Also check out the Least Common Multiple of 62976 and 62988