What is the Greatest Common Factor of 532 and 539?

Greatest common factor (GCF) of 532 and 539 is 7.

GCF(532,539) = 7

We will now calculate the prime factors of 532 and 539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 532 and 539.

How to find the GCF of 532 and 539?

We will first find the prime factorization of 532 and 539. After we will calculate the factors of 532 and 539 and find the biggest common factor number .

Step-1: Prime Factorization of 532

Prime factors of 532 are 2, 7, 19. Prime factorization of 532 in exponential form is:

532 = 2² × 7¹ × 19¹

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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266

Step-4: Factors of 539

List of positive integer factors of 539 that divides 532 without a remainder.

1, 7, 11, 49, 77

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 532 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 532 and 539 is 7.

Also check out the Least Common Multiple of 532 and 539