What is the Greatest Common Factor of 66625 and 66645?

Greatest common factor (GCF) of 66625 and 66645 is 5.

GCF(66625,66645) = 5

We will now calculate the prime factors of 66625 and 66645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66625 and 66645.

How to find the GCF of 66625 and 66645?

We will first find the prime factorization of 66625 and 66645. After we will calculate the factors of 66625 and 66645 and find the biggest common factor number .

Step-1: Prime Factorization of 66625

Prime factors of 66625 are 5, 13, 41. Prime factorization of 66625 in exponential form is:

66625 = 5³ × 13¹ × 41¹

Step-2: Prime Factorization of 66645

Prime factors of 66645 are 3, 5, 1481. Prime factorization of 66645 in exponential form is:

66645 = 3² × 5¹ × 1481¹

Step-3: Factors of 66625

List of positive integer factors of 66625 that divides 66625 without a remainder.

1, 5, 13, 25, 41, 65, 125, 205, 325, 533, 1025, 1625, 2665, 5125, 13325

Step-4: Factors of 66645

List of positive integer factors of 66645 that divides 66625 without a remainder.

1, 3, 5, 9, 15, 45, 1481, 4443, 7405, 13329, 22215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66625 and 66645. The biggest common factor number is the GCF number.
So the greatest common factor 66625 and 66645 is 5.

Also check out the Least Common Multiple of 66625 and 66645