What is the Greatest Common Factor of 27610 and 27625?

Greatest common factor (GCF) of 27610 and 27625 is 5.

GCF(27610,27625) = 5

We will now calculate the prime factors of 27610 and 27625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27610 and 27625.

How to find the GCF of 27610 and 27625?

We will first find the prime factorization of 27610 and 27625. After we will calculate the factors of 27610 and 27625 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 27625

Prime factors of 27625 are 5, 13, 17. Prime factorization of 27625 in exponential form is:

27625 = 5³ × 13¹ × 17¹

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 27625

List of positive integer factors of 27625 that divides 27610 without a remainder.

1, 5, 13, 17, 25, 65, 85, 125, 221, 325, 425, 1105, 1625, 2125, 5525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27610 and 27625. The biggest common factor number is the GCF number.
So the greatest common factor 27610 and 27625 is 5.

Also check out the Least Common Multiple of 27610 and 27625