What is the Greatest Common Factor of 44896 and 44908?

Greatest common factor (GCF) of 44896 and 44908 is 4.

GCF(44896,44908) = 4

We will now calculate the prime factors of 44896 and 44908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44896 and 44908.

How to find the GCF of 44896 and 44908?

We will first find the prime factorization of 44896 and 44908. After we will calculate the factors of 44896 and 44908 and find the biggest common factor number .

Step-1: Prime Factorization of 44896

Prime factors of 44896 are 2, 23, 61. Prime factorization of 44896 in exponential form is:

44896 = 2⁵ × 23¹ × 61¹

Step-2: Prime Factorization of 44908

Prime factors of 44908 are 2, 103, 109. Prime factorization of 44908 in exponential form is:

44908 = 2² × 103¹ × 109¹

Step-3: Factors of 44896

List of positive integer factors of 44896 that divides 44896 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 61, 92, 122, 184, 244, 368, 488, 736, 976, 1403, 1952, 2806, 5612, 11224, 22448

Step-4: Factors of 44908

List of positive integer factors of 44908 that divides 44896 without a remainder.

1, 2, 4, 103, 109, 206, 218, 412, 436, 11227, 22454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44896 and 44908. The biggest common factor number is the GCF number.
So the greatest common factor 44896 and 44908 is 4.

Also check out the Least Common Multiple of 44896 and 44908