What is the Greatest Common Factor of 62946 and 62964?

Greatest common factor (GCF) of 62946 and 62964 is 18.

GCF(62946,62964) = 18

We will now calculate the prime factors of 62946 and 62964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62946 and 62964.

How to find the GCF of 62946 and 62964?

We will first find the prime factorization of 62946 and 62964. After we will calculate the factors of 62946 and 62964 and find the biggest common factor number .

Step-1: Prime Factorization of 62946

Prime factors of 62946 are 2, 3, 13, 269. Prime factorization of 62946 in exponential form is:

62946 = 2¹ × 3² × 13¹ × 269¹

Step-2: 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-3: Factors of 62946

List of positive integer factors of 62946 that divides 62946 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 269, 538, 807, 1614, 2421, 3497, 4842, 6994, 10491, 20982, 31473

Step-4: Factors of 62964

List of positive integer factors of 62964 that divides 62946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62946 and 62964. The biggest common factor number is the GCF number.
So the greatest common factor 62946 and 62964 is 18.

Also check out the Least Common Multiple of 62946 and 62964