What is the Greatest Common Factor of 62964 and 62982?

Greatest common factor (GCF) of 62964 and 62982 is 18.

GCF(62964,62982) = 18

We will now calculate the prime factors of 62964 and 62982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62964 and 62982.

How to find the GCF of 62964 and 62982?

We will first find the prime factorization of 62964 and 62982. After we will calculate the factors of 62964 and 62982 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 62982

Prime factors of 62982 are 2, 3, 3499. Prime factorization of 62982 in exponential form is:

62982 = 2¹ × 3² × 3499¹

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 62982

List of positive integer factors of 62982 that divides 62964 without a remainder.

1, 2, 3, 6, 9, 18, 3499, 6998, 10497, 20994, 31491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62964 and 62982. The biggest common factor number is the GCF number.
So the greatest common factor 62964 and 62982 is 18.

Also check out the Least Common Multiple of 62964 and 62982