What is the Greatest Common Factor of 44384 and 44404?

Greatest common factor (GCF) of 44384 and 44404 is 4.

GCF(44384,44404) = 4

We will now calculate the prime factors of 44384 and 44404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44384 and 44404.

How to find the GCF of 44384 and 44404?

We will first find the prime factorization of 44384 and 44404. After we will calculate the factors of 44384 and 44404 and find the biggest common factor number .

Step-1: Prime Factorization of 44384

Prime factors of 44384 are 2, 19, 73. Prime factorization of 44384 in exponential form is:

44384 = 2⁵ × 19¹ × 73¹

Step-2: Prime Factorization of 44404

Prime factors of 44404 are 2, 17, 653. Prime factorization of 44404 in exponential form is:

44404 = 2² × 17¹ × 653¹

Step-3: Factors of 44384

List of positive integer factors of 44384 that divides 44384 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 73, 76, 146, 152, 292, 304, 584, 608, 1168, 1387, 2336, 2774, 5548, 11096, 22192

Step-4: Factors of 44404

List of positive integer factors of 44404 that divides 44384 without a remainder.

1, 2, 4, 17, 34, 68, 653, 1306, 2612, 11101, 22202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44384 and 44404. The biggest common factor number is the GCF number.
So the greatest common factor 44384 and 44404 is 4.

Also check out the Least Common Multiple of 44384 and 44404