What is the Greatest Common Factor of 66509 and 66525?

Greatest common factor (GCF) of 66509 and 66525 is 1.

GCF(66509,66525) = 1

We will now calculate the prime factors of 66509 and 66525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66509 and 66525.

How to find the GCF of 66509 and 66525?

We will first find the prime factorization of 66509 and 66525. After we will calculate the factors of 66509 and 66525 and find the biggest common factor number .

Step-1: Prime Factorization of 66509

Prime factors of 66509 are 66509. Prime factorization of 66509 in exponential form is:

66509 = 66509¹

Step-2: 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-3: Factors of 66509

List of positive integer factors of 66509 that divides 66509 without a remainder.

Step-4: Factors of 66525

List of positive integer factors of 66525 that divides 66509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66509 and 66525. The biggest common factor number is the GCF number.
So the greatest common factor 66509 and 66525 is 1.

Also check out the Least Common Multiple of 66509 and 66525