What is the Greatest Common Factor of 537 and 547?

Greatest common factor (GCF) of 537 and 547 is 1.

GCF(537,547) = 1

We will now calculate the prime factors of 537 and 547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 537 and 547.

How to find the GCF of 537 and 547?

We will first find the prime factorization of 537 and 547. After we will calculate the factors of 537 and 547 and find the biggest common factor number .

Step-1: Prime Factorization of 537

Prime factors of 537 are 3, 179. Prime factorization of 537 in exponential form is:

537 = 3¹ × 179¹

Step-2: Prime Factorization of 547

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 547¹

Step-3: Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179

Step-4: Factors of 547

List of positive integer factors of 547 that divides 537 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 537 and 547. The biggest common factor number is the GCF number.
So the greatest common factor 537 and 547 is 1.

Also check out the Least Common Multiple of 537 and 547