What is the Greatest Common Factor of 27610 and 27630?

Greatest common factor (GCF) of 27610 and 27630 is 10.

GCF(27610,27630) = 10

We will now calculate the prime factors of 27610 and 27630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27610 and 27630.

How to find the GCF of 27610 and 27630?

We will first find the prime factorization of 27610 and 27630. After we will calculate the factors of 27610 and 27630 and find the biggest common factor number .

Step-1: Prime Factorization of 27610

Prime factors of 27610 are 2, 5, 11, 251. Prime factorization of 27610 in exponential form is:

27610 = 2¹ × 5¹ × 11¹ × 251¹

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 27610

List of positive integer factors of 27610 that divides 27610 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 251, 502, 1255, 2510, 2761, 5522, 13805

Step-4: Factors of 27630

List of positive integer factors of 27630 that divides 27610 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 27610 and 27630. The biggest common factor number is the GCF number.
So the greatest common factor 27610 and 27630 is 10.

Also check out the Least Common Multiple of 27610 and 27630