What is the Greatest Common Factor of 532 and 538?

Greatest common factor (GCF) of 532 and 538 is 2.

GCF(532,538) = 2

We will now calculate the prime factors of 532 and 538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 532 and 538.

How to find the GCF of 532 and 538?

We will first find the prime factorization of 532 and 538. After we will calculate the factors of 532 and 538 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 538

Prime factors of 538 are 2, 269. Prime factorization of 538 in exponential form is:

538 = 2¹ × 269¹

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 538

List of positive integer factors of 538 that divides 532 without a remainder.

1, 2, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 532 and 538. The biggest common factor number is the GCF number.
So the greatest common factor 532 and 538 is 2.

Also check out the Least Common Multiple of 532 and 538