What is the Greatest Common Factor of 525 and 537?

Greatest common factor (GCF) of 525 and 537 is 3.

GCF(525,537) = 3

We will now calculate the prime factors of 525 and 537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 525 and 537.

How to find the GCF of 525 and 537?

We will first find the prime factorization of 525 and 537. After we will calculate the factors of 525 and 537 and find the biggest common factor number .

Step-1: Prime Factorization of 525

Prime factors of 525 are 3, 5, 7. Prime factorization of 525 in exponential form is:

525 = 3¹ × 5² × 7¹

Step-2: Prime Factorization of 537

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

537 = 3¹ × 179¹

Step-3: Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175

Step-4: Factors of 537

List of positive integer factors of 537 that divides 525 without a remainder.

1, 3, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 525 and 537. The biggest common factor number is the GCF number.
So the greatest common factor 525 and 537 is 3.

Also check out the Least Common Multiple of 525 and 537