What is the Greatest Common Factor of 44048 and 44054?

Greatest common factor (GCF) of 44048 and 44054 is 2.

GCF(44048,44054) = 2

We will now calculate the prime factors of 44048 and 44054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44048 and 44054.

How to find the GCF of 44048 and 44054?

We will first find the prime factorization of 44048 and 44054. After we will calculate the factors of 44048 and 44054 and find the biggest common factor number .

Step-1: Prime Factorization of 44048

Prime factors of 44048 are 2, 2753. Prime factorization of 44048 in exponential form is:

44048 = 2⁴ × 2753¹

Step-2: Prime Factorization of 44054

Prime factors of 44054 are 2, 22027. Prime factorization of 44054 in exponential form is:

44054 = 2¹ × 22027¹

Step-3: Factors of 44048

List of positive integer factors of 44048 that divides 44048 without a remainder.

1, 2, 4, 8, 16, 2753, 5506, 11012, 22024

Step-4: Factors of 44054

List of positive integer factors of 44054 that divides 44048 without a remainder.

1, 2, 22027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44048 and 44054. The biggest common factor number is the GCF number.
So the greatest common factor 44048 and 44054 is 2.

Also check out the Least Common Multiple of 44048 and 44054