What is the Greatest Common Factor of 44832 and 44848?

Greatest common factor (GCF) of 44832 and 44848 is 16.

GCF(44832,44848) = 16

We will now calculate the prime factors of 44832 and 44848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44832 and 44848.

How to find the GCF of 44832 and 44848?

We will first find the prime factorization of 44832 and 44848. After we will calculate the factors of 44832 and 44848 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 44848

Prime factors of 44848 are 2, 2803. Prime factorization of 44848 in exponential form is:

44848 = 2⁴ × 2803¹

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 44848

List of positive integer factors of 44848 that divides 44832 without a remainder.

1, 2, 4, 8, 16, 2803, 5606, 11212, 22424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44832 and 44848. The biggest common factor number is the GCF number.
So the greatest common factor 44832 and 44848 is 16.

Also check out the Least Common Multiple of 44832 and 44848