What is the Greatest Common Factor of 23475 and 23490?

Greatest common factor (GCF) of 23475 and 23490 is 15.

GCF(23475,23490) = 15

We will now calculate the prime factors of 23475 and 23490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23475 and 23490.

How to find the GCF of 23475 and 23490?

We will first find the prime factorization of 23475 and 23490. After we will calculate the factors of 23475 and 23490 and find the biggest common factor number .

Step-1: Prime Factorization of 23475

Prime factors of 23475 are 3, 5, 313. Prime factorization of 23475 in exponential form is:

23475 = 3¹ × 5² × 313¹

Step-2: Prime Factorization of 23490

Prime factors of 23490 are 2, 3, 5, 29. Prime factorization of 23490 in exponential form is:

23490 = 2¹ × 3⁴ × 5¹ × 29¹

Step-3: Factors of 23475

List of positive integer factors of 23475 that divides 23475 without a remainder.

1, 3, 5, 15, 25, 75, 313, 939, 1565, 4695, 7825

Step-4: Factors of 23490

List of positive integer factors of 23490 that divides 23475 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 261, 270, 290, 405, 435, 522, 783, 810, 870, 1305, 1566, 2349, 2610, 3915, 4698, 7830, 11745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23475 and 23490. The biggest common factor number is the GCF number.
So the greatest common factor 23475 and 23490 is 15.

Also check out the Least Common Multiple of 23475 and 23490