What is the Greatest Common Factor of 66294 and 66312?

Greatest common factor (GCF) of 66294 and 66312 is 18.

GCF(66294,66312) = 18

We will now calculate the prime factors of 66294 and 66312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66294 and 66312.

How to find the GCF of 66294 and 66312?

We will first find the prime factorization of 66294 and 66312. After we will calculate the factors of 66294 and 66312 and find the biggest common factor number .

Step-1: Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 2¹ × 3² × 29¹ × 127¹

Step-2: Prime Factorization of 66312

Prime factors of 66312 are 2, 3, 307. Prime factorization of 66312 in exponential form is:

66312 = 2³ × 3³ × 307¹

Step-3: Factors of 66294

List of positive integer factors of 66294 that divides 66294 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 127, 174, 254, 261, 381, 522, 762, 1143, 2286, 3683, 7366, 11049, 22098, 33147

Step-4: Factors of 66312

List of positive integer factors of 66312 that divides 66294 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 5526, 7368, 8289, 11052, 16578, 22104, 33156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66294 and 66312. The biggest common factor number is the GCF number.
So the greatest common factor 66294 and 66312 is 18.

Also check out the Least Common Multiple of 66294 and 66312