What is the Greatest Common Factor of 44034 and 44048?

Greatest common factor (GCF) of 44034 and 44048 is 2.

GCF(44034,44048) = 2

We will now calculate the prime factors of 44034 and 44048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44034 and 44048.

How to find the GCF of 44034 and 44048?

We will first find the prime factorization of 44034 and 44048. After we will calculate the factors of 44034 and 44048 and find the biggest common factor number .

Step-1: Prime Factorization of 44034

Prime factors of 44034 are 2, 3, 41, 179. Prime factorization of 44034 in exponential form is:

44034 = 2¹ × 3¹ × 41¹ × 179¹

Step-2: Prime Factorization of 44048

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

44048 = 2⁴ × 2753¹

Step-3: Factors of 44034

List of positive integer factors of 44034 that divides 44034 without a remainder.

1, 2, 3, 6, 41, 82, 123, 179, 246, 358, 537, 1074, 7339, 14678, 22017

Step-4: Factors of 44048

List of positive integer factors of 44048 that divides 44034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44034 and 44048. The biggest common factor number is the GCF number.
So the greatest common factor 44034 and 44048 is 2.

Also check out the Least Common Multiple of 44034 and 44048