What is the Greatest Common Factor of 44913 and 44924?

Greatest common factor (GCF) of 44913 and 44924 is 11.

GCF(44913,44924) = 11

We will now calculate the prime factors of 44913 and 44924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44913 and 44924.

How to find the GCF of 44913 and 44924?

We will first find the prime factorization of 44913 and 44924. After we will calculate the factors of 44913 and 44924 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44924

Prime factors of 44924 are 2, 11, 1021. Prime factorization of 44924 in exponential form is:

44924 = 2² × 11¹ × 1021¹

Step-3: Factors of 44913

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

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

Step-4: Factors of 44924

List of positive integer factors of 44924 that divides 44913 without a remainder.

1, 2, 4, 11, 22, 44, 1021, 2042, 4084, 11231, 22462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44913 and 44924. The biggest common factor number is the GCF number.
So the greatest common factor 44913 and 44924 is 11.

Also check out the Least Common Multiple of 44913 and 44924