What is the Greatest Common Factor of 66525 and 66540?

Greatest common factor (GCF) of 66525 and 66540 is 15.

GCF(66525,66540) = 15

We will now calculate the prime factors of 66525 and 66540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66525 and 66540.

How to find the GCF of 66525 and 66540?

We will first find the prime factorization of 66525 and 66540. After we will calculate the factors of 66525 and 66540 and find the biggest common factor number .

Step-1: Prime Factorization of 66525

Prime factors of 66525 are 3, 5, 887. Prime factorization of 66525 in exponential form is:

66525 = 3¹ × 5² × 887¹

Step-2: Prime Factorization of 66540

Prime factors of 66540 are 2, 3, 5, 1109. Prime factorization of 66540 in exponential form is:

66540 = 2² × 3¹ × 5¹ × 1109¹

Step-3: Factors of 66525

List of positive integer factors of 66525 that divides 66525 without a remainder.

1, 3, 5, 15, 25, 75, 887, 2661, 4435, 13305, 22175

Step-4: Factors of 66540

List of positive integer factors of 66540 that divides 66525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1109, 2218, 3327, 4436, 5545, 6654, 11090, 13308, 16635, 22180, 33270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66525 and 66540. The biggest common factor number is the GCF number.
So the greatest common factor 66525 and 66540 is 15.

Also check out the Least Common Multiple of 66525 and 66540