What is the Greatest Common Factor of 528 and 543?

Greatest common factor (GCF) of 528 and 543 is 3.

GCF(528,543) = 3

We will now calculate the prime factors of 528 and 543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 528 and 543.

How to find the GCF of 528 and 543?

We will first find the prime factorization of 528 and 543. After we will calculate the factors of 528 and 543 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 543

Prime factors of 543 are 3, 181. Prime factorization of 543 in exponential form is:

543 = 3¹ × 181¹

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 543

List of positive integer factors of 543 that divides 528 without a remainder.

1, 3, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 528 and 543. The biggest common factor number is the GCF number.
So the greatest common factor 528 and 543 is 3.

Also check out the Least Common Multiple of 528 and 543