What is the Greatest Common Factor of 27523 and 27537?

Greatest common factor (GCF) of 27523 and 27537 is 1.

GCF(27523,27537) = 1

We will now calculate the prime factors of 27523 and 27537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27523 and 27537.

How to find the GCF of 27523 and 27537?

We will first find the prime factorization of 27523 and 27537. After we will calculate the factors of 27523 and 27537 and find the biggest common factor number .

Step-1: Prime Factorization of 27523

Prime factors of 27523 are 17, 1619. Prime factorization of 27523 in exponential form is:

27523 = 17¹ × 1619¹

Step-2: Prime Factorization of 27537

Prime factors of 27537 are 3, 67, 137. Prime factorization of 27537 in exponential form is:

27537 = 3¹ × 67¹ × 137¹

Step-3: Factors of 27523

List of positive integer factors of 27523 that divides 27523 without a remainder.

1, 17, 1619

Step-4: Factors of 27537

List of positive integer factors of 27537 that divides 27523 without a remainder.

1, 3, 67, 137, 201, 411, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27523 and 27537. The biggest common factor number is the GCF number.
So the greatest common factor 27523 and 27537 is 1.

Also check out the Least Common Multiple of 27523 and 27537