What is the Greatest Common Factor of 66525 and 66537?

Greatest common factor (GCF) of 66525 and 66537 is 3.

GCF(66525,66537) = 3

We will now calculate the prime factors of 66525 and 66537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66525 and 66537.

How to find the GCF of 66525 and 66537?

We will first find the prime factorization of 66525 and 66537. After we will calculate the factors of 66525 and 66537 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 66537

Prime factors of 66537 are 3, 7393. Prime factorization of 66537 in exponential form is:

66537 = 3² × 7393¹

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 66537

List of positive integer factors of 66537 that divides 66525 without a remainder.

1, 3, 9, 7393, 22179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66525 and 66537. The biggest common factor number is the GCF number.
So the greatest common factor 66525 and 66537 is 3.

Also check out the Least Common Multiple of 66525 and 66537