What is the Greatest Common Factor of 44352 and 44364?

Greatest common factor (GCF) of 44352 and 44364 is 12.

GCF(44352,44364) = 12

We will now calculate the prime factors of 44352 and 44364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44352 and 44364.

How to find the GCF of 44352 and 44364?

We will first find the prime factorization of 44352 and 44364. After we will calculate the factors of 44352 and 44364 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 44364

Prime factors of 44364 are 2, 3, 3697. Prime factorization of 44364 in exponential form is:

44364 = 2² × 3¹ × 3697¹

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 44364

List of positive integer factors of 44364 that divides 44352 without a remainder.

1, 2, 3, 4, 6, 12, 3697, 7394, 11091, 14788, 22182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44352 and 44364. The biggest common factor number is the GCF number.
So the greatest common factor 44352 and 44364 is 12.

Also check out the Least Common Multiple of 44352 and 44364