What is the Greatest Common Factor of 44416 and 44432?

Greatest common factor (GCF) of 44416 and 44432 is 16.

GCF(44416,44432) = 16

We will now calculate the prime factors of 44416 and 44432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44416 and 44432.

How to find the GCF of 44416 and 44432?

We will first find the prime factorization of 44416 and 44432. After we will calculate the factors of 44416 and 44432 and find the biggest common factor number .

Step-1: Prime Factorization of 44416

Prime factors of 44416 are 2, 347. Prime factorization of 44416 in exponential form is:

44416 = 2⁷ × 347¹

Step-2: Prime Factorization of 44432

Prime factors of 44432 are 2, 2777. Prime factorization of 44432 in exponential form is:

44432 = 2⁴ × 2777¹

Step-3: Factors of 44416

List of positive integer factors of 44416 that divides 44416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 347, 694, 1388, 2776, 5552, 11104, 22208

Step-4: Factors of 44432

List of positive integer factors of 44432 that divides 44416 without a remainder.

1, 2, 4, 8, 16, 2777, 5554, 11108, 22216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44416 and 44432. The biggest common factor number is the GCF number.
So the greatest common factor 44416 and 44432 is 16.

Also check out the Least Common Multiple of 44416 and 44432