What is the Greatest Common Factor of 62964 and 62976?

Greatest common factor (GCF) of 62964 and 62976 is 12.

GCF(62964,62976) = 12

We will now calculate the prime factors of 62964 and 62976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62964 and 62976.

How to find the GCF of 62964 and 62976?

We will first find the prime factorization of 62964 and 62976. After we will calculate the factors of 62964 and 62976 and find the biggest common factor number .

Step-1: Prime Factorization of 62964

Prime factors of 62964 are 2, 3, 11, 53. Prime factorization of 62964 in exponential form is:

62964 = 2² × 3³ × 11¹ × 53¹

Step-2: 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-3: Factors of 62964

List of positive integer factors of 62964 that divides 62964 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 53, 54, 66, 99, 106, 108, 132, 159, 198, 212, 297, 318, 396, 477, 583, 594, 636, 954, 1166, 1188, 1431, 1749, 1908, 2332, 2862, 3498, 5247, 5724, 6996, 10494, 15741, 20988, 31482

Step-4: Factors of 62976

List of positive integer factors of 62976 that divides 62964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62964 and 62976. The biggest common factor number is the GCF number.
So the greatest common factor 62964 and 62976 is 12.

Also check out the Least Common Multiple of 62964 and 62976