What is the Greatest Common Factor of 44040 and 44055?

Greatest common factor (GCF) of 44040 and 44055 is 15.

GCF(44040,44055) = 15

We will now calculate the prime factors of 44040 and 44055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44040 and 44055.

How to find the GCF of 44040 and 44055?

We will first find the prime factorization of 44040 and 44055. After we will calculate the factors of 44040 and 44055 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 44055

Prime factors of 44055 are 3, 5, 11, 89. Prime factorization of 44055 in exponential form is:

44055 = 3² × 5¹ × 11¹ × 89¹

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 44055

List of positive integer factors of 44055 that divides 44040 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 89, 99, 165, 267, 445, 495, 801, 979, 1335, 2937, 4005, 4895, 8811, 14685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44040 and 44055. The biggest common factor number is the GCF number.
So the greatest common factor 44040 and 44055 is 15.

Also check out the Least Common Multiple of 44040 and 44055