What is the Greatest Common Factor of 18474 and 18488?

Greatest common factor (GCF) of 18474 and 18488 is 2.

GCF(18474,18488) = 2

We will now calculate the prime factors of 18474 and 18488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18474 and 18488.

How to find the GCF of 18474 and 18488?

We will first find the prime factorization of 18474 and 18488. After we will calculate the factors of 18474 and 18488 and find the biggest common factor number .

Step-1: Prime Factorization of 18474

Prime factors of 18474 are 2, 3, 3079. Prime factorization of 18474 in exponential form is:

18474 = 2¹ × 3¹ × 3079¹

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 18474

List of positive integer factors of 18474 that divides 18474 without a remainder.

1, 2, 3, 6, 3079, 6158, 9237

Step-4: Factors of 18488

List of positive integer factors of 18488 that divides 18474 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18474 and 18488. The biggest common factor number is the GCF number.
So the greatest common factor 18474 and 18488 is 2.

Also check out the Least Common Multiple of 18474 and 18488