What is the Greatest Common Factor of 33524 and 33530?

Greatest common factor (GCF) of 33524 and 33530 is 2.

GCF(33524,33530) = 2

We will now calculate the prime factors of 33524 and 33530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33524 and 33530.

How to find the GCF of 33524 and 33530?

We will first find the prime factorization of 33524 and 33530. After we will calculate the factors of 33524 and 33530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33530

Prime factors of 33530 are 2, 5, 7, 479. Prime factorization of 33530 in exponential form is:

33530 = 2¹ × 5¹ × 7¹ × 479¹

Step-3: Factors of 33524

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

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

Step-4: Factors of 33530

List of positive integer factors of 33530 that divides 33524 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 479, 958, 2395, 3353, 4790, 6706, 16765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33524 and 33530. The biggest common factor number is the GCF number.
So the greatest common factor 33524 and 33530 is 2.

Also check out the Least Common Multiple of 33524 and 33530