What is the Greatest Common Factor of 18480 and 18487?

Greatest common factor (GCF) of 18480 and 18487 is 7.

GCF(18480,18487) = 7

We will now calculate the prime factors of 18480 and 18487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18487.

How to find the GCF of 18480 and 18487?

We will first find the prime factorization of 18480 and 18487. After we will calculate the factors of 18480 and 18487 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18487

Prime factors of 18487 are 7, 19, 139. Prime factorization of 18487 in exponential form is:

18487 = 7¹ × 19¹ × 139¹

Step-3: Factors of 18480

List of positive integer factors of 18480 that divides 18480 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

Step-4: Factors of 18487

List of positive integer factors of 18487 that divides 18480 without a remainder.

1, 7, 19, 133, 139, 973, 2641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18487. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18487 is 7.

Also check out the Least Common Multiple of 18480 and 18487