What is the Greatest Common Factor of 44274 and 44280?

Greatest common factor (GCF) of 44274 and 44280 is 6.

GCF(44274,44280) = 6

We will now calculate the prime factors of 44274 and 44280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44274 and 44280.

How to find the GCF of 44274 and 44280?

We will first find the prime factorization of 44274 and 44280. After we will calculate the factors of 44274 and 44280 and find the biggest common factor number .

Step-1: Prime Factorization of 44274

Prime factors of 44274 are 2, 3, 47, 157. Prime factorization of 44274 in exponential form is:

44274 = 2¹ × 3¹ × 47¹ × 157¹

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 44274

List of positive integer factors of 44274 that divides 44274 without a remainder.

1, 2, 3, 6, 47, 94, 141, 157, 282, 314, 471, 942, 7379, 14758, 22137

Step-4: Factors of 44280

List of positive integer factors of 44280 that divides 44274 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 44274 and 44280. The biggest common factor number is the GCF number.
So the greatest common factor 44274 and 44280 is 6.

Also check out the Least Common Multiple of 44274 and 44280