What is the Greatest Common Factor of 44832 and 44852?

Greatest common factor (GCF) of 44832 and 44852 is 4.

GCF(44832,44852) = 4

We will now calculate the prime factors of 44832 and 44852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44832 and 44852.

How to find the GCF of 44832 and 44852?

We will first find the prime factorization of 44832 and 44852. After we will calculate the factors of 44832 and 44852 and find the biggest common factor number .

Step-1: Prime Factorization of 44832

Prime factors of 44832 are 2, 3, 467. Prime factorization of 44832 in exponential form is:

44832 = 2⁵ × 3¹ × 467¹

Step-2: Prime Factorization of 44852

Prime factors of 44852 are 2, 11213. Prime factorization of 44852 in exponential form is:

44852 = 2² × 11213¹

Step-3: Factors of 44832

List of positive integer factors of 44832 that divides 44832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 14944, 22416

Step-4: Factors of 44852

List of positive integer factors of 44852 that divides 44832 without a remainder.

1, 2, 4, 11213, 22426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44832 and 44852. The biggest common factor number is the GCF number.
So the greatest common factor 44832 and 44852 is 4.

Also check out the Least Common Multiple of 44832 and 44852