What is the Greatest Common Factor of 525 and 539?

Greatest common factor (GCF) of 525 and 539 is 7.

GCF(525,539) = 7

We will now calculate the prime factors of 525 and 539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 525 and 539.

How to find the GCF of 525 and 539?

We will first find the prime factorization of 525 and 539. After we will calculate the factors of 525 and 539 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 539

Prime factors of 539 are 7, 11. Prime factorization of 539 in exponential form is:

539 = 7² × 11¹

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 539

List of positive integer factors of 539 that divides 525 without a remainder.

1, 7, 11, 49, 77

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 525 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 525 and 539 is 7.

Also check out the Least Common Multiple of 525 and 539