What is the Greatest Common Factor of 18475 and 18490?

Greatest common factor (GCF) of 18475 and 18490 is 5.

GCF(18475,18490) = 5

We will now calculate the prime factors of 18475 and 18490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18475 and 18490.

How to find the GCF of 18475 and 18490?

We will first find the prime factorization of 18475 and 18490. After we will calculate the factors of 18475 and 18490 and find the biggest common factor number .

Step-1: Prime Factorization of 18475

Prime factors of 18475 are 5, 739. Prime factorization of 18475 in exponential form is:

18475 = 5² × 739¹

Step-2: Prime Factorization of 18490

Prime factors of 18490 are 2, 5, 43. Prime factorization of 18490 in exponential form is:

18490 = 2¹ × 5¹ × 43²

Step-3: Factors of 18475

List of positive integer factors of 18475 that divides 18475 without a remainder.

1, 5, 25, 739, 3695

Step-4: Factors of 18490

List of positive integer factors of 18490 that divides 18475 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430, 1849, 3698, 9245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18475 and 18490. The biggest common factor number is the GCF number.
So the greatest common factor 18475 and 18490 is 5.

Also check out the Least Common Multiple of 18475 and 18490