What is the Greatest Common Factor of 27630 and 27650?

Greatest common factor (GCF) of 27630 and 27650 is 10.

GCF(27630,27650) = 10

We will now calculate the prime factors of 27630 and 27650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27630 and 27650.

How to find the GCF of 27630 and 27650?

We will first find the prime factorization of 27630 and 27650. After we will calculate the factors of 27630 and 27650 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 27650

Prime factors of 27650 are 2, 5, 7, 79. Prime factorization of 27650 in exponential form is:

27650 = 2¹ × 5² × 7¹ × 79¹

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 27650

List of positive integer factors of 27650 that divides 27630 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 79, 158, 175, 350, 395, 553, 790, 1106, 1975, 2765, 3950, 5530, 13825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27630 and 27650. The biggest common factor number is the GCF number.
So the greatest common factor 27630 and 27650 is 10.

Also check out the Least Common Multiple of 27630 and 27650