What is the Greatest Common Factor of 44032 and 44048?

Greatest common factor (GCF) of 44032 and 44048 is 16.

GCF(44032,44048) = 16

We will now calculate the prime factors of 44032 and 44048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44032 and 44048.

How to find the GCF of 44032 and 44048?

We will first find the prime factorization of 44032 and 44048. After we will calculate the factors of 44032 and 44048 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 44048

Prime factors of 44048 are 2, 2753. Prime factorization of 44048 in exponential form is:

44048 = 2⁴ × 2753¹

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 44048

List of positive integer factors of 44048 that divides 44032 without a remainder.

1, 2, 4, 8, 16, 2753, 5506, 11012, 22024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44032 and 44048. The biggest common factor number is the GCF number.
So the greatest common factor 44032 and 44048 is 16.

Also check out the Least Common Multiple of 44032 and 44048