What is the Greatest Common Factor of 44032 and 44052?

Greatest common factor (GCF) of 44032 and 44052 is 4.

GCF(44032,44052) = 4

We will now calculate the prime factors of 44032 and 44052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44032 and 44052.

How to find the GCF of 44032 and 44052?

We will first find the prime factorization of 44032 and 44052. After we will calculate the factors of 44032 and 44052 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 44052

Prime factors of 44052 are 2, 3, 3671. Prime factorization of 44052 in exponential form is:

44052 = 2² × 3¹ × 3671¹

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 44052

List of positive integer factors of 44052 that divides 44032 without a remainder.

1, 2, 3, 4, 6, 12, 3671, 7342, 11013, 14684, 22026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44032 and 44052. The biggest common factor number is the GCF number.
So the greatest common factor 44032 and 44052 is 4.

Also check out the Least Common Multiple of 44032 and 44052