What is the Greatest Common Factor of 18625 and 18645?

Greatest common factor (GCF) of 18625 and 18645 is 5.

GCF(18625,18645) = 5

We will now calculate the prime factors of 18625 and 18645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18625 and 18645.

How to find the GCF of 18625 and 18645?

We will first find the prime factorization of 18625 and 18645. After we will calculate the factors of 18625 and 18645 and find the biggest common factor number .

Step-1: Prime Factorization of 18625

Prime factors of 18625 are 5, 149. Prime factorization of 18625 in exponential form is:

18625 = 5³ × 149¹

Step-2: Prime Factorization of 18645

Prime factors of 18645 are 3, 5, 11, 113. Prime factorization of 18645 in exponential form is:

18645 = 3¹ × 5¹ × 11¹ × 113¹

Step-3: Factors of 18625

List of positive integer factors of 18625 that divides 18625 without a remainder.

1, 5, 25, 125, 149, 745, 3725

Step-4: Factors of 18645

List of positive integer factors of 18645 that divides 18625 without a remainder.

1, 3, 5, 11, 15, 33, 55, 113, 165, 339, 565, 1243, 1695, 3729, 6215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18625 and 18645. The biggest common factor number is the GCF number.
So the greatest common factor 18625 and 18645 is 5.

Also check out the Least Common Multiple of 18625 and 18645