What is the Greatest Common Factor of 33517 and 33528?

Greatest common factor (GCF) of 33517 and 33528 is 11.

GCF(33517,33528) = 11

We will now calculate the prime factors of 33517 and 33528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33517 and 33528.

How to find the GCF of 33517 and 33528?

We will first find the prime factorization of 33517 and 33528. After we will calculate the factors of 33517 and 33528 and find the biggest common factor number .

Step-1: Prime Factorization of 33517

Prime factors of 33517 are 11, 277. Prime factorization of 33517 in exponential form is:

33517 = 11² × 277¹

Step-2: Prime Factorization of 33528

Prime factors of 33528 are 2, 3, 11, 127. Prime factorization of 33528 in exponential form is:

33528 = 2³ × 3¹ × 11¹ × 127¹

Step-3: Factors of 33517

List of positive integer factors of 33517 that divides 33517 without a remainder.

1, 11, 121, 277, 3047

Step-4: Factors of 33528

List of positive integer factors of 33528 that divides 33517 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 127, 132, 254, 264, 381, 508, 762, 1016, 1397, 1524, 2794, 3048, 4191, 5588, 8382, 11176, 16764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33517 and 33528. The biggest common factor number is the GCF number.
So the greatest common factor 33517 and 33528 is 11.

Also check out the Least Common Multiple of 33517 and 33528