What is the Greatest Common Factor of 18475 and 18488?

Greatest common factor (GCF) of 18475 and 18488 is 1.

GCF(18475,18488) = 1

We will now calculate the prime factors of 18475 and 18488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18475 and 18488.

How to find the GCF of 18475 and 18488?

We will first find the prime factorization of 18475 and 18488. After we will calculate the factors of 18475 and 18488 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 18488

Prime factors of 18488 are 2, 2311. Prime factorization of 18488 in exponential form is:

18488 = 2³ × 2311¹

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 18488

List of positive integer factors of 18488 that divides 18475 without a remainder.

1, 2, 4, 8, 2311, 4622, 9244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18475 and 18488. The biggest common factor number is the GCF number.
So the greatest common factor 18475 and 18488 is 1.

Also check out the Least Common Multiple of 18475 and 18488