What is the Greatest Common Factor of 18474 and 18480?

Greatest common factor (GCF) of 18474 and 18480 is 6.

GCF(18474,18480) = 6

We will now calculate the prime factors of 18474 and 18480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18474 and 18480.

How to find the GCF of 18474 and 18480?

We will first find the prime factorization of 18474 and 18480. After we will calculate the factors of 18474 and 18480 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 18480

Prime factors of 18480 are 2, 3, 5, 7, 11. Prime factorization of 18480 in exponential form is:

18480 = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹

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 18480

List of positive integer factors of 18480 that divides 18474 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18474 and 18480. The biggest common factor number is the GCF number.
So the greatest common factor 18474 and 18480 is 6.

Also check out the Least Common Multiple of 18474 and 18480