What is the Greatest Common Factor of 524 and 528?

Greatest common factor (GCF) of 524 and 528 is 4.

GCF(524,528) = 4

We will now calculate the prime factors of 524 and 528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 524 and 528.

How to find the GCF of 524 and 528?

We will first find the prime factorization of 524 and 528. After we will calculate the factors of 524 and 528 and find the biggest common factor number .

Step-1: Prime Factorization of 524

Prime factors of 524 are 2, 131. Prime factorization of 524 in exponential form is:

524 = 2² × 131¹

Step-2: Prime Factorization of 528

Prime factors of 528 are 2, 3, 11. Prime factorization of 528 in exponential form is:

528 = 2⁴ × 3¹ × 11¹

Step-3: Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262

Step-4: Factors of 528

List of positive integer factors of 528 that divides 524 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 524 and 528. The biggest common factor number is the GCF number.
So the greatest common factor 524 and 528 is 4.

Also check out the Least Common Multiple of 524 and 528