What is the Greatest Common Factor of 27509 and 27525?

Greatest common factor (GCF) of 27509 and 27525 is 1.

GCF(27509,27525) = 1

We will now calculate the prime factors of 27509 and 27525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27509 and 27525.

How to find the GCF of 27509 and 27525?

We will first find the prime factorization of 27509 and 27525. After we will calculate the factors of 27509 and 27525 and find the biggest common factor number .

Step-1: Prime Factorization of 27509

Prime factors of 27509 are 27509. Prime factorization of 27509 in exponential form is:

27509 = 27509¹

Step-2: Prime Factorization of 27525

Prime factors of 27525 are 3, 5, 367. Prime factorization of 27525 in exponential form is:

27525 = 3¹ × 5² × 367¹

Step-3: Factors of 27509

List of positive integer factors of 27509 that divides 27509 without a remainder.

Step-4: Factors of 27525

List of positive integer factors of 27525 that divides 27509 without a remainder.

1, 3, 5, 15, 25, 75, 367, 1101, 1835, 5505, 9175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27509 and 27525. The biggest common factor number is the GCF number.
So the greatest common factor 27509 and 27525 is 1.

Also check out the Least Common Multiple of 27509 and 27525