What is the Greatest Common Factor of 27305 and 27315?

Greatest common factor (GCF) of 27305 and 27315 is 5.

GCF(27305,27315) = 5

We will now calculate the prime factors of 27305 and 27315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27305 and 27315.

How to find the GCF of 27305 and 27315?

We will first find the prime factorization of 27305 and 27315. After we will calculate the factors of 27305 and 27315 and find the biggest common factor number .

Step-1: Prime Factorization of 27305

Prime factors of 27305 are 5, 43, 127. Prime factorization of 27305 in exponential form is:

27305 = 5¹ × 43¹ × 127¹

Step-2: Prime Factorization of 27315

Prime factors of 27315 are 3, 5, 607. Prime factorization of 27315 in exponential form is:

27315 = 3² × 5¹ × 607¹

Step-3: Factors of 27305

List of positive integer factors of 27305 that divides 27305 without a remainder.

1, 5, 43, 127, 215, 635, 5461

Step-4: Factors of 27315

List of positive integer factors of 27315 that divides 27305 without a remainder.

1, 3, 5, 9, 15, 45, 607, 1821, 3035, 5463, 9105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27305 and 27315. The biggest common factor number is the GCF number.
So the greatest common factor 27305 and 27315 is 5.

Also check out the Least Common Multiple of 27305 and 27315