What is the Greatest Common Factor of 44820 and 44832?

Greatest common factor (GCF) of 44820 and 44832 is 12.

GCF(44820,44832) = 12

We will now calculate the prime factors of 44820 and 44832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44820 and 44832.

How to find the GCF of 44820 and 44832?

We will first find the prime factorization of 44820 and 44832. After we will calculate the factors of 44820 and 44832 and find the biggest common factor number .

Step-1: Prime Factorization of 44820

Prime factors of 44820 are 2, 3, 5, 83. Prime factorization of 44820 in exponential form is:

44820 = 2² × 3³ × 5¹ × 83¹

Step-2: 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-3: Factors of 44820

List of positive integer factors of 44820 that divides 44820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 83, 90, 108, 135, 166, 180, 249, 270, 332, 415, 498, 540, 747, 830, 996, 1245, 1494, 1660, 2241, 2490, 2988, 3735, 4482, 4980, 7470, 8964, 11205, 14940, 22410

Step-4: Factors of 44832

List of positive integer factors of 44832 that divides 44820 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44820 and 44832. The biggest common factor number is the GCF number.
So the greatest common factor 44820 and 44832 is 12.

Also check out the Least Common Multiple of 44820 and 44832