What is the Greatest Common Factor of 18495 and 18510?

Greatest common factor (GCF) of 18495 and 18510 is 15.

GCF(18495,18510) = 15

We will now calculate the prime factors of 18495 and 18510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18495 and 18510.

How to find the GCF of 18495 and 18510?

We will first find the prime factorization of 18495 and 18510. After we will calculate the factors of 18495 and 18510 and find the biggest common factor number .

Step-1: Prime Factorization of 18495

Prime factors of 18495 are 3, 5, 137. Prime factorization of 18495 in exponential form is:

18495 = 3³ × 5¹ × 137¹

Step-2: Prime Factorization of 18510

Prime factors of 18510 are 2, 3, 5, 617. Prime factorization of 18510 in exponential form is:

18510 = 2¹ × 3¹ × 5¹ × 617¹

Step-3: Factors of 18495

List of positive integer factors of 18495 that divides 18495 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 137, 411, 685, 1233, 2055, 3699, 6165

Step-4: Factors of 18510

List of positive integer factors of 18510 that divides 18495 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 617, 1234, 1851, 3085, 3702, 6170, 9255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18495 and 18510. The biggest common factor number is the GCF number.
So the greatest common factor 18495 and 18510 is 15.

Also check out the Least Common Multiple of 18495 and 18510