What is the Greatest Common Factor of 44376 and 44384?

Greatest common factor (GCF) of 44376 and 44384 is 8.

GCF(44376,44384) = 8

We will now calculate the prime factors of 44376 and 44384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44376 and 44384.

How to find the GCF of 44376 and 44384?

We will first find the prime factorization of 44376 and 44384. After we will calculate the factors of 44376 and 44384 and find the biggest common factor number .

Step-1: Prime Factorization of 44376

Prime factors of 44376 are 2, 3, 43. Prime factorization of 44376 in exponential form is:

44376 = 2³ × 3¹ × 43²

Step-2: 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-3: Factors of 44376

List of positive integer factors of 44376 that divides 44376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032, 1849, 3698, 5547, 7396, 11094, 14792, 22188

Step-4: Factors of 44384

List of positive integer factors of 44384 that divides 44376 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44376 and 44384. The biggest common factor number is the GCF number.
So the greatest common factor 44376 and 44384 is 8.

Also check out the Least Common Multiple of 44376 and 44384