What is the Greatest Common Factor of 66525 and 66530?

Greatest common factor (GCF) of 66525 and 66530 is 5.

GCF(66525,66530) = 5

We will now calculate the prime factors of 66525 and 66530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66525 and 66530.

How to find the GCF of 66525 and 66530?

We will first find the prime factorization of 66525 and 66530. After we will calculate the factors of 66525 and 66530 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 66530

Prime factors of 66530 are 2, 5, 6653. Prime factorization of 66530 in exponential form is:

66530 = 2¹ × 5¹ × 6653¹

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 66530

List of positive integer factors of 66530 that divides 66525 without a remainder.

1, 2, 5, 10, 6653, 13306, 33265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66525 and 66530. The biggest common factor number is the GCF number.
So the greatest common factor 66525 and 66530 is 5.

Also check out the Least Common Multiple of 66525 and 66530