What is the Greatest Common Factor of 44484 and 44496?

Greatest common factor (GCF) of 44484 and 44496 is 12.

GCF(44484,44496) = 12

We will now calculate the prime factors of 44484 and 44496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44484 and 44496.

How to find the GCF of 44484 and 44496?

We will first find the prime factorization of 44484 and 44496. After we will calculate the factors of 44484 and 44496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44496

Prime factors of 44496 are 2, 3, 103. Prime factorization of 44496 in exponential form is:

44496 = 2⁴ × 3³ × 103¹

Step-3: Factors of 44484

List of positive integer factors of 44484 that divides 44484 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

Step-4: Factors of 44496

List of positive integer factors of 44496 that divides 44484 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 103, 108, 144, 206, 216, 309, 412, 432, 618, 824, 927, 1236, 1648, 1854, 2472, 2781, 3708, 4944, 5562, 7416, 11124, 14832, 22248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44484 and 44496. The biggest common factor number is the GCF number.
So the greatest common factor 44484 and 44496 is 12.

Also check out the Least Common Multiple of 44484 and 44496