What is the Greatest Common Factor of 44472 and 44484?

Greatest common factor (GCF) of 44472 and 44484 is 12.

GCF(44472,44484) = 12

We will now calculate the prime factors of 44472 and 44484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44472 and 44484.

How to find the GCF of 44472 and 44484?

We will first find the prime factorization of 44472 and 44484. After we will calculate the factors of 44472 and 44484 and find the biggest common factor number .

Step-1: Prime Factorization of 44472

Prime factors of 44472 are 2, 3, 17, 109. Prime factorization of 44472 in exponential form is:

44472 = 2³ × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 44484

Prime factors of 44484 are 2, 3, 11, 337. Prime factorization of 44484 in exponential form is:

44484 = 2² × 3¹ × 11¹ × 337¹

Step-3: Factors of 44472

List of positive integer factors of 44472 that divides 44472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 109, 136, 204, 218, 327, 408, 436, 654, 872, 1308, 1853, 2616, 3706, 5559, 7412, 11118, 14824, 22236

Step-4: Factors of 44484

List of positive integer factors of 44484 that divides 44472 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 337, 674, 1011, 1348, 2022, 3707, 4044, 7414, 11121, 14828, 22242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44472 and 44484. The biggest common factor number is the GCF number.
So the greatest common factor 44472 and 44484 is 12.

Also check out the Least Common Multiple of 44472 and 44484