What is the Greatest Common Factor of 44040 and 44046?

Greatest common factor (GCF) of 44040 and 44046 is 6.

GCF(44040,44046) = 6

We will now calculate the prime factors of 44040 and 44046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44040 and 44046.

How to find the GCF of 44040 and 44046?

We will first find the prime factorization of 44040 and 44046. After we will calculate the factors of 44040 and 44046 and find the biggest common factor number .

Step-1: Prime Factorization of 44040

Prime factors of 44040 are 2, 3, 5, 367. Prime factorization of 44040 in exponential form is:

44040 = 2³ × 3¹ × 5¹ × 367¹

Step-2: Prime Factorization of 44046

Prime factors of 44046 are 2, 3, 2447. Prime factorization of 44046 in exponential form is:

44046 = 2¹ × 3² × 2447¹

Step-3: Factors of 44040

List of positive integer factors of 44040 that divides 44040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 367, 734, 1101, 1468, 1835, 2202, 2936, 3670, 4404, 5505, 7340, 8808, 11010, 14680, 22020

Step-4: Factors of 44046

List of positive integer factors of 44046 that divides 44040 without a remainder.

1, 2, 3, 6, 9, 18, 2447, 4894, 7341, 14682, 22023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44040 and 44046. The biggest common factor number is the GCF number.
So the greatest common factor 44040 and 44046 is 6.

Also check out the Least Common Multiple of 44040 and 44046