What is the Greatest Common Factor of 27525 and 27539?

Greatest common factor (GCF) of 27525 and 27539 is 1.

GCF(27525,27539) = 1

We will now calculate the prime factors of 27525 and 27539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27525 and 27539.

How to find the GCF of 27525 and 27539?

We will first find the prime factorization of 27525 and 27539. After we will calculate the factors of 27525 and 27539 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27539

Prime factors of 27539 are 27539. Prime factorization of 27539 in exponential form is:

27539 = 27539¹

Step-3: Factors of 27525

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

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

Step-4: Factors of 27539

List of positive integer factors of 27539 that divides 27525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27525 and 27539. The biggest common factor number is the GCF number.
So the greatest common factor 27525 and 27539 is 1.

Also check out the Least Common Multiple of 27525 and 27539