What is the Greatest Common Factor of 27525 and 27538?

Greatest common factor (GCF) of 27525 and 27538 is 1.

GCF(27525,27538) = 1

We will now calculate the prime factors of 27525 and 27538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27525 and 27538.

How to find the GCF of 27525 and 27538?

We will first find the prime factorization of 27525 and 27538. After we will calculate the factors of 27525 and 27538 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 27538

Prime factors of 27538 are 2, 7, 281. Prime factorization of 27538 in exponential form is:

27538 = 2¹ × 7² × 281¹

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 27538

List of positive integer factors of 27538 that divides 27525 without a remainder.

1, 2, 7, 14, 49, 98, 281, 562, 1967, 3934, 13769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27525 and 27538. The biggest common factor number is the GCF number.
So the greatest common factor 27525 and 27538 is 1.

Also check out the Least Common Multiple of 27525 and 27538