What is the Greatest Common Factor of 44372 and 44384?

Greatest common factor (GCF) of 44372 and 44384 is 4.

GCF(44372,44384) = 4

We will now calculate the prime factors of 44372 and 44384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44372 and 44384.

How to find the GCF of 44372 and 44384?

We will first find the prime factorization of 44372 and 44384. After we will calculate the factors of 44372 and 44384 and find the biggest common factor number .

Step-1: Prime Factorization of 44372

Prime factors of 44372 are 2, 11093. Prime factorization of 44372 in exponential form is:

44372 = 2² × 11093¹

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 44372

List of positive integer factors of 44372 that divides 44372 without a remainder.

1, 2, 4, 11093, 22186

Step-4: Factors of 44384

List of positive integer factors of 44384 that divides 44372 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 44372 and 44384. The biggest common factor number is the GCF number.
So the greatest common factor 44372 and 44384 is 4.

Also check out the Least Common Multiple of 44372 and 44384