What is the Greatest Common Factor of 44352 and 44366?

Greatest common factor (GCF) of 44352 and 44366 is 14.

GCF(44352,44366) = 14

We will now calculate the prime factors of 44352 and 44366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44352 and 44366.

How to find the GCF of 44352 and 44366?

We will first find the prime factorization of 44352 and 44366. After we will calculate the factors of 44352 and 44366 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44366

Prime factors of 44366 are 2, 7, 3169. Prime factorization of 44366 in exponential form is:

44366 = 2¹ × 7¹ × 3169¹

Step-3: Factors of 44352

List of positive integer factors of 44352 that divides 44352 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

Step-4: Factors of 44366

List of positive integer factors of 44366 that divides 44352 without a remainder.

1, 2, 7, 14, 3169, 6338, 22183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44352 and 44366. The biggest common factor number is the GCF number.
So the greatest common factor 44352 and 44366 is 14.

Also check out the Least Common Multiple of 44352 and 44366