What is the Greatest Common Factor of 33507 and 33524?

Greatest common factor (GCF) of 33507 and 33524 is 17.

GCF(33507,33524) = 17

We will now calculate the prime factors of 33507 and 33524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33507 and 33524.

How to find the GCF of 33507 and 33524?

We will first find the prime factorization of 33507 and 33524. After we will calculate the factors of 33507 and 33524 and find the biggest common factor number .

Step-1: Prime Factorization of 33507

Prime factors of 33507 are 3, 17, 73. Prime factorization of 33507 in exponential form is:

33507 = 3³ × 17¹ × 73¹

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 33507

List of positive integer factors of 33507 that divides 33507 without a remainder.

1, 3, 9, 17, 27, 51, 73, 153, 219, 459, 657, 1241, 1971, 3723, 11169

Step-4: Factors of 33524

List of positive integer factors of 33524 that divides 33507 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 33507 and 33524. The biggest common factor number is the GCF number.
So the greatest common factor 33507 and 33524 is 17.

Also check out the Least Common Multiple of 33507 and 33524