What is the Greatest Common Factor of 27630 and 27647?

Greatest common factor (GCF) of 27630 and 27647 is 1.

GCF(27630,27647) = 1

We will now calculate the prime factors of 27630 and 27647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27630 and 27647.

How to find the GCF of 27630 and 27647?

We will first find the prime factorization of 27630 and 27647. After we will calculate the factors of 27630 and 27647 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27647

Prime factors of 27647 are 27647. Prime factorization of 27647 in exponential form is:

27647 = 27647¹

Step-3: Factors of 27630

List of positive integer factors of 27630 that divides 27630 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

Step-4: Factors of 27647

List of positive integer factors of 27647 that divides 27630 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27630 and 27647. The biggest common factor number is the GCF number.
So the greatest common factor 27630 and 27647 is 1.

Also check out the Least Common Multiple of 27630 and 27647