What is the Greatest Common Factor of 18480 and 18496?

Greatest common factor (GCF) of 18480 and 18496 is 16.

GCF(18480,18496) = 16

We will now calculate the prime factors of 18480 and 18496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18480 and 18496.

How to find the GCF of 18480 and 18496?

We will first find the prime factorization of 18480 and 18496. After we will calculate the factors of 18480 and 18496 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 18496

Prime factors of 18496 are 2, 17. Prime factorization of 18496 in exponential form is:

18496 = 2⁶ × 17²

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 18496

List of positive integer factors of 18496 that divides 18480 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18480 and 18496. The biggest common factor number is the GCF number.
So the greatest common factor 18480 and 18496 is 16.

Also check out the Least Common Multiple of 18480 and 18496