What is the Greatest Common Factor of 33525 and 33540?

Greatest common factor (GCF) of 33525 and 33540 is 15.

GCF(33525,33540) = 15

We will now calculate the prime factors of 33525 and 33540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33525 and 33540.

How to find the GCF of 33525 and 33540?

We will first find the prime factorization of 33525 and 33540. After we will calculate the factors of 33525 and 33540 and find the biggest common factor number .

Step-1: Prime Factorization of 33525

Prime factors of 33525 are 3, 5, 149. Prime factorization of 33525 in exponential form is:

33525 = 3² × 5² × 149¹

Step-2: Prime Factorization of 33540

Prime factors of 33540 are 2, 3, 5, 13, 43. Prime factorization of 33540 in exponential form is:

33540 = 2² × 3¹ × 5¹ × 13¹ × 43¹

Step-3: Factors of 33525

List of positive integer factors of 33525 that divides 33525 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 149, 225, 447, 745, 1341, 2235, 3725, 6705, 11175

Step-4: Factors of 33540

List of positive integer factors of 33540 that divides 33525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 43, 52, 60, 65, 78, 86, 129, 130, 156, 172, 195, 215, 258, 260, 390, 430, 516, 559, 645, 780, 860, 1118, 1290, 1677, 2236, 2580, 2795, 3354, 5590, 6708, 8385, 11180, 16770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33525 and 33540. The biggest common factor number is the GCF number.
So the greatest common factor 33525 and 33540 is 15.

Also check out the Least Common Multiple of 33525 and 33540