What is the Greatest Common Factor of 27612 and 27630?

Greatest common factor (GCF) of 27612 and 27630 is 18.

GCF(27612,27630) = 18

We will now calculate the prime factors of 27612 and 27630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27612 and 27630.

How to find the GCF of 27612 and 27630?

We will first find the prime factorization of 27612 and 27630. After we will calculate the factors of 27612 and 27630 and find the biggest common factor number .

Step-1: Prime Factorization of 27612

Prime factors of 27612 are 2, 3, 13, 59. Prime factorization of 27612 in exponential form is:

27612 = 2² × 3² × 13¹ × 59¹

Step-2: Prime Factorization of 27630

Prime factors of 27630 are 2, 3, 5, 307. Prime factorization of 27630 in exponential form is:

27630 = 2¹ × 3² × 5¹ × 307¹

Step-3: Factors of 27612

List of positive integer factors of 27612 that divides 27612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 59, 78, 117, 118, 156, 177, 234, 236, 354, 468, 531, 708, 767, 1062, 1534, 2124, 2301, 3068, 4602, 6903, 9204, 13806

Step-4: Factors of 27630

List of positive integer factors of 27630 that divides 27612 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 307, 614, 921, 1535, 1842, 2763, 3070, 4605, 5526, 9210, 13815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27612 and 27630. The biggest common factor number is the GCF number.
So the greatest common factor 27612 and 27630 is 18.

Also check out the Least Common Multiple of 27612 and 27630