What is the Greatest Common Factor of 44108 and 44120?

Greatest common factor (GCF) of 44108 and 44120 is 4.

GCF(44108,44120) = 4

We will now calculate the prime factors of 44108 and 44120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44108 and 44120.

How to find the GCF of 44108 and 44120?

We will first find the prime factorization of 44108 and 44120. After we will calculate the factors of 44108 and 44120 and find the biggest common factor number .

Step-1: Prime Factorization of 44108

Prime factors of 44108 are 2, 11027. Prime factorization of 44108 in exponential form is:

44108 = 2² × 11027¹

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 44108

List of positive integer factors of 44108 that divides 44108 without a remainder.

1, 2, 4, 11027, 22054

Step-4: Factors of 44120

List of positive integer factors of 44120 that divides 44108 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 44108 and 44120. The biggest common factor number is the GCF number.
So the greatest common factor 44108 and 44120 is 4.

Also check out the Least Common Multiple of 44108 and 44120