What is the Greatest Common Factor of 44898 and 44913?

Greatest common factor (GCF) of 44898 and 44913 is 3.

GCF(44898,44913) = 3

We will now calculate the prime factors of 44898 and 44913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44898 and 44913.

How to find the GCF of 44898 and 44913?

We will first find the prime factorization of 44898 and 44913. After we will calculate the factors of 44898 and 44913 and find the biggest common factor number .

Step-1: Prime Factorization of 44898

Prime factors of 44898 are 2, 3, 7, 1069. Prime factorization of 44898 in exponential form is:

44898 = 2¹ × 3¹ × 7¹ × 1069¹

Step-2: Prime Factorization of 44913

Prime factors of 44913 are 3, 11, 1361. Prime factorization of 44913 in exponential form is:

44913 = 3¹ × 11¹ × 1361¹

Step-3: Factors of 44898

List of positive integer factors of 44898 that divides 44898 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1069, 2138, 3207, 6414, 7483, 14966, 22449

Step-4: Factors of 44913

List of positive integer factors of 44913 that divides 44898 without a remainder.

1, 3, 11, 33, 1361, 4083, 14971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44898 and 44913. The biggest common factor number is the GCF number.
So the greatest common factor 44898 and 44913 is 3.

Also check out the Least Common Multiple of 44898 and 44913