What is the Greatest Common Factor of 44337 and 44352?

Greatest common factor (GCF) of 44337 and 44352 is 3.

GCF(44337,44352) = 3

We will now calculate the prime factors of 44337 and 44352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44337 and 44352.

How to find the GCF of 44337 and 44352?

We will first find the prime factorization of 44337 and 44352. After we will calculate the factors of 44337 and 44352 and find the biggest common factor number .

Step-1: Prime Factorization of 44337

Prime factors of 44337 are 3, 14779. Prime factorization of 44337 in exponential form is:

44337 = 3¹ × 14779¹

Step-2: Prime Factorization of 44352

Prime factors of 44352 are 2, 3, 7, 11. Prime factorization of 44352 in exponential form is:

44352 = 2⁶ × 3² × 7¹ × 11¹

Step-3: Factors of 44337

List of positive integer factors of 44337 that divides 44337 without a remainder.

1, 3, 14779

Step-4: Factors of 44352

List of positive integer factors of 44352 that divides 44337 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 32, 33, 36, 42, 44, 48, 56, 63, 64, 66, 72, 77, 84, 88, 96, 99, 112, 126, 132, 144, 154, 168, 176, 192, 198, 224, 231, 252, 264, 288, 308, 336, 352, 396, 448, 462, 504, 528, 576, 616, 672, 693, 704, 792, 924, 1008, 1056, 1232, 1344, 1386, 1584, 1848, 2016, 2112, 2464, 2772, 3168, 3696, 4032, 4928, 5544, 6336, 7392, 11088, 14784, 22176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44337 and 44352. The biggest common factor number is the GCF number.
So the greatest common factor 44337 and 44352 is 3.

Also check out the Least Common Multiple of 44337 and 44352