What is the Greatest Common Factor of 528 and 535?

Greatest common factor (GCF) of 528 and 535 is 1.

GCF(528,535) = 1

We will now calculate the prime factors of 528 and 535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 528 and 535.

How to find the GCF of 528 and 535?

We will first find the prime factorization of 528 and 535. After we will calculate the factors of 528 and 535 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 535

Prime factors of 535 are 5, 107. Prime factorization of 535 in exponential form is:

535 = 5¹ × 107¹

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 535

List of positive integer factors of 535 that divides 528 without a remainder.

1, 5, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 528 and 535. The biggest common factor number is the GCF number.
So the greatest common factor 528 and 535 is 1.

Also check out the Least Common Multiple of 528 and 535