What is the Greatest Common Factor of 44332 and 44336?

Greatest common factor (GCF) of 44332 and 44336 is 4.

GCF(44332,44336) = 4

We will now calculate the prime factors of 44332 and 44336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44332 and 44336.

How to find the GCF of 44332 and 44336?

We will first find the prime factorization of 44332 and 44336. After we will calculate the factors of 44332 and 44336 and find the biggest common factor number .

Step-1: Prime Factorization of 44332

Prime factors of 44332 are 2, 11083. Prime factorization of 44332 in exponential form is:

44332 = 2² × 11083¹

Step-2: Prime Factorization of 44336

Prime factors of 44336 are 2, 17, 163. Prime factorization of 44336 in exponential form is:

44336 = 2⁴ × 17¹ × 163¹

Step-3: Factors of 44332

List of positive integer factors of 44332 that divides 44332 without a remainder.

1, 2, 4, 11083, 22166

Step-4: Factors of 44336

List of positive integer factors of 44336 that divides 44332 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 163, 272, 326, 652, 1304, 2608, 2771, 5542, 11084, 22168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44332 and 44336. The biggest common factor number is the GCF number.
So the greatest common factor 44332 and 44336 is 4.

Also check out the Least Common Multiple of 44332 and 44336