What is the Greatest Common Factor of 44105 and 44120?

Greatest common factor (GCF) of 44105 and 44120 is 5.

GCF(44105,44120) = 5

We will now calculate the prime factors of 44105 and 44120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44105 and 44120.

How to find the GCF of 44105 and 44120?

We will first find the prime factorization of 44105 and 44120. After we will calculate the factors of 44105 and 44120 and find the biggest common factor number .

Step-1: Prime Factorization of 44105

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

44105 = 5¹ × 8821¹

Step-2: Prime Factorization of 44120

Prime factors of 44120 are 2, 5, 1103. Prime factorization of 44120 in exponential form is:

44120 = 2³ × 5¹ × 1103¹

Step-3: Factors of 44105

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

1, 5, 8821

Step-4: Factors of 44120

List of positive integer factors of 44120 that divides 44105 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1103, 2206, 4412, 5515, 8824, 11030, 22060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44105 and 44120. The biggest common factor number is the GCF number.
So the greatest common factor 44105 and 44120 is 5.

Also check out the Least Common Multiple of 44105 and 44120