What is the Greatest Common Factor of 18474 and 18492?

Greatest common factor (GCF) of 18474 and 18492 is 6.

GCF(18474,18492) = 6

We will now calculate the prime factors of 18474 and 18492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18474 and 18492.

How to find the GCF of 18474 and 18492?

We will first find the prime factorization of 18474 and 18492. After we will calculate the factors of 18474 and 18492 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 18492

Prime factors of 18492 are 2, 3, 23, 67. Prime factorization of 18492 in exponential form is:

18492 = 2² × 3¹ × 23¹ × 67¹

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 18492

List of positive integer factors of 18492 that divides 18474 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 67, 69, 92, 134, 138, 201, 268, 276, 402, 804, 1541, 3082, 4623, 6164, 9246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18474 and 18492. The biggest common factor number is the GCF number.
So the greatest common factor 18474 and 18492 is 6.

Also check out the Least Common Multiple of 18474 and 18492