What is the Greatest Common Factor of 44032 and 44036?

Greatest common factor (GCF) of 44032 and 44036 is 4.

GCF(44032,44036) = 4

We will now calculate the prime factors of 44032 and 44036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44032 and 44036.

How to find the GCF of 44032 and 44036?

We will first find the prime factorization of 44032 and 44036. After we will calculate the factors of 44032 and 44036 and find the biggest common factor number .

Step-1: Prime Factorization of 44032

Prime factors of 44032 are 2, 43. Prime factorization of 44032 in exponential form is:

44032 = 2¹⁰ × 43¹

Step-2: Prime Factorization of 44036

Prime factors of 44036 are 2, 101, 109. Prime factorization of 44036 in exponential form is:

44036 = 2² × 101¹ × 109¹

Step-3: Factors of 44032

List of positive integer factors of 44032 that divides 44032 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1024, 1376, 2752, 5504, 11008, 22016

Step-4: Factors of 44036

List of positive integer factors of 44036 that divides 44032 without a remainder.

1, 2, 4, 101, 109, 202, 218, 404, 436, 11009, 22018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44032 and 44036. The biggest common factor number is the GCF number.
So the greatest common factor 44032 and 44036 is 4.

Also check out the Least Common Multiple of 44032 and 44036