What is the Greatest Common Factor of 44033 and 44040?

Greatest common factor (GCF) of 44033 and 44040 is 1.

GCF(44033,44040) = 1

We will now calculate the prime factors of 44033 and 44040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44033 and 44040.

How to find the GCF of 44033 and 44040?

We will first find the prime factorization of 44033 and 44040. After we will calculate the factors of 44033 and 44040 and find the biggest common factor number .

Step-1: Prime Factorization of 44033

Prime factors of 44033 are 11, 4003. Prime factorization of 44033 in exponential form is:

44033 = 11¹ × 4003¹

Step-2: 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-3: Factors of 44033

List of positive integer factors of 44033 that divides 44033 without a remainder.

1, 11, 4003

Step-4: Factors of 44040

List of positive integer factors of 44040 that divides 44033 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44033 and 44040. The biggest common factor number is the GCF number.
So the greatest common factor 44033 and 44040 is 1.

Also check out the Least Common Multiple of 44033 and 44040