What is the Greatest Common Factor of 44268 and 44280?

Greatest common factor (GCF) of 44268 and 44280 is 12.

GCF(44268,44280) = 12

We will now calculate the prime factors of 44268 and 44280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44268 and 44280.

How to find the GCF of 44268 and 44280?

We will first find the prime factorization of 44268 and 44280. After we will calculate the factors of 44268 and 44280 and find the biggest common factor number .

Step-1: Prime Factorization of 44268

Prime factors of 44268 are 2, 3, 7, 17, 31. Prime factorization of 44268 in exponential form is:

44268 = 2² × 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 44280

Prime factors of 44280 are 2, 3, 5, 41. Prime factorization of 44280 in exponential form is:

44280 = 2³ × 3³ × 5¹ × 41¹

Step-3: Factors of 44268

List of positive integer factors of 44268 that divides 44268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 31, 34, 42, 51, 62, 68, 84, 93, 102, 119, 124, 186, 204, 217, 238, 357, 372, 434, 476, 527, 651, 714, 868, 1054, 1302, 1428, 1581, 2108, 2604, 3162, 3689, 6324, 7378, 11067, 14756, 22134

Step-4: Factors of 44280

List of positive integer factors of 44280 that divides 44268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 41, 45, 54, 60, 72, 82, 90, 108, 120, 123, 135, 164, 180, 205, 216, 246, 270, 328, 360, 369, 410, 492, 540, 615, 738, 820, 984, 1080, 1107, 1230, 1476, 1640, 1845, 2214, 2460, 2952, 3690, 4428, 4920, 5535, 7380, 8856, 11070, 14760, 22140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44268 and 44280. The biggest common factor number is the GCF number.
So the greatest common factor 44268 and 44280 is 12.

Also check out the Least Common Multiple of 44268 and 44280