What is the Greatest Common Factor of 66525 and 66545?

Greatest common factor (GCF) of 66525 and 66545 is 5.

GCF(66525,66545) = 5

We will now calculate the prime factors of 66525 and 66545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66525 and 66545.

How to find the GCF of 66525 and 66545?

We will first find the prime factorization of 66525 and 66545. After we will calculate the factors of 66525 and 66545 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 66545

Prime factors of 66545 are 5, 13309. Prime factorization of 66545 in exponential form is:

66545 = 5¹ × 13309¹

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 66545

List of positive integer factors of 66545 that divides 66525 without a remainder.

1, 5, 13309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66525 and 66545. The biggest common factor number is the GCF number.
So the greatest common factor 66525 and 66545 is 5.

Also check out the Least Common Multiple of 66525 and 66545