What is the Greatest Common Factor of 44280 and 44294?

Greatest common factor (GCF) of 44280 and 44294 is 2.

GCF(44280,44294) = 2

We will now calculate the prime factors of 44280 and 44294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44280 and 44294.

How to find the GCF of 44280 and 44294?

We will first find the prime factorization of 44280 and 44294. After we will calculate the factors of 44280 and 44294 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44294

Prime factors of 44294 are 2, 22147. Prime factorization of 44294 in exponential form is:

44294 = 2¹ × 22147¹

Step-3: Factors of 44280

List of positive integer factors of 44280 that divides 44280 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

Step-4: Factors of 44294

List of positive integer factors of 44294 that divides 44280 without a remainder.

1, 2, 22147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44280 and 44294. The biggest common factor number is the GCF number.
So the greatest common factor 44280 and 44294 is 2.

Also check out the Least Common Multiple of 44280 and 44294