What is the Greatest Common Factor of 33524 and 33541?

Greatest common factor (GCF) of 33524 and 33541 is 17.

GCF(33524,33541) = 17

We will now calculate the prime factors of 33524 and 33541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33524 and 33541.

How to find the GCF of 33524 and 33541?

We will first find the prime factorization of 33524 and 33541. After we will calculate the factors of 33524 and 33541 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 33541

Prime factors of 33541 are 17, 1973. Prime factorization of 33541 in exponential form is:

33541 = 17¹ × 1973¹

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 33541

List of positive integer factors of 33541 that divides 33524 without a remainder.

1, 17, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33524 and 33541. The biggest common factor number is the GCF number.
So the greatest common factor 33524 and 33541 is 17.

Also check out the Least Common Multiple of 33524 and 33541