What is the Greatest Common Factor of 33508 and 33524?

Greatest common factor (GCF) of 33508 and 33524 is 4.

GCF(33508,33524) = 4

We will now calculate the prime factors of 33508 and 33524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33508 and 33524.

How to find the GCF of 33508 and 33524?

We will first find the prime factorization of 33508 and 33524. After we will calculate the factors of 33508 and 33524 and find the biggest common factor number .

Step-1: Prime Factorization of 33508

Prime factors of 33508 are 2, 8377. Prime factorization of 33508 in exponential form is:

33508 = 2² × 8377¹

Step-2: Prime Factorization of 33524

Prime factors of 33524 are 2, 17, 29. Prime factorization of 33524 in exponential form is:

33524 = 2² × 17² × 29¹

Step-3: Factors of 33508

List of positive integer factors of 33508 that divides 33508 without a remainder.

1, 2, 4, 8377, 16754

Step-4: Factors of 33524

List of positive integer factors of 33524 that divides 33508 without a remainder.

1, 2, 4, 17, 29, 34, 58, 68, 116, 289, 493, 578, 986, 1156, 1972, 8381, 16762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33508 and 33524. The biggest common factor number is the GCF number.
So the greatest common factor 33508 and 33524 is 4.

Also check out the Least Common Multiple of 33508 and 33524