What is the Greatest Common Factor of 33506 and 33517?

Greatest common factor (GCF) of 33506 and 33517 is 11.

GCF(33506,33517) = 11

We will now calculate the prime factors of 33506 and 33517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33506 and 33517.

How to find the GCF of 33506 and 33517?

We will first find the prime factorization of 33506 and 33517. After we will calculate the factors of 33506 and 33517 and find the biggest common factor number .

Step-1: Prime Factorization of 33506

Prime factors of 33506 are 2, 11, 1523. Prime factorization of 33506 in exponential form is:

33506 = 2¹ × 11¹ × 1523¹

Step-2: Prime Factorization of 33517

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

33517 = 11² × 277¹

Step-3: Factors of 33506

List of positive integer factors of 33506 that divides 33506 without a remainder.

1, 2, 11, 22, 1523, 3046, 16753

Step-4: Factors of 33517

List of positive integer factors of 33517 that divides 33506 without a remainder.

1, 11, 121, 277, 3047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33506 and 33517. The biggest common factor number is the GCF number.
So the greatest common factor 33506 and 33517 is 11.

Also check out the Least Common Multiple of 33506 and 33517