What is the Greatest Common Factor of 44088 and 44105?

Greatest common factor (GCF) of 44088 and 44105 is 1.

GCF(44088,44105) = 1

We will now calculate the prime factors of 44088 and 44105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44088 and 44105.

How to find the GCF of 44088 and 44105?

We will first find the prime factorization of 44088 and 44105. After we will calculate the factors of 44088 and 44105 and find the biggest common factor number .

Step-1: Prime Factorization of 44088

Prime factors of 44088 are 2, 3, 11, 167. Prime factorization of 44088 in exponential form is:

44088 = 2³ × 3¹ × 11¹ × 167¹

Step-2: Prime Factorization of 44105

Prime factors of 44105 are 5, 8821. Prime factorization of 44105 in exponential form is:

44105 = 5¹ × 8821¹

Step-3: Factors of 44088

List of positive integer factors of 44088 that divides 44088 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 167, 264, 334, 501, 668, 1002, 1336, 1837, 2004, 3674, 4008, 5511, 7348, 11022, 14696, 22044

Step-4: Factors of 44105

List of positive integer factors of 44105 that divides 44088 without a remainder.

1, 5, 8821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44088 and 44105. The biggest common factor number is the GCF number.
So the greatest common factor 44088 and 44105 is 1.

Also check out the Least Common Multiple of 44088 and 44105