What is the Greatest Common Factor of 528 and 548?

Greatest common factor (GCF) of 528 and 548 is 4.

GCF(528,548) = 4

We will now calculate the prime factors of 528 and 548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 528 and 548.

How to find the GCF of 528 and 548?

We will first find the prime factorization of 528 and 548. After we will calculate the factors of 528 and 548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 548

Prime factors of 548 are 2, 137. Prime factorization of 548 in exponential form is:

548 = 2² × 137¹

Step-3: Factors of 528

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

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

Step-4: Factors of 548

List of positive integer factors of 548 that divides 528 without a remainder.

1, 2, 4, 137, 274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 528 and 548. The biggest common factor number is the GCF number.
So the greatest common factor 528 and 548 is 4.

Also check out the Least Common Multiple of 528 and 548