What is the Greatest Common Factor of 36330 and 36344?

Greatest common factor (GCF) of 36330 and 36344 is 14.

GCF(36330,36344) = 14

We will now calculate the prime factors of 36330 and 36344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36330 and 36344.

How to find the GCF of 36330 and 36344?

We will first find the prime factorization of 36330 and 36344. After we will calculate the factors of 36330 and 36344 and find the biggest common factor number .

Step-1: Prime Factorization of 36330

Prime factors of 36330 are 2, 3, 5, 7, 173. Prime factorization of 36330 in exponential form is:

36330 = 2¹ × 3¹ × 5¹ × 7¹ × 173¹

Step-2: Prime Factorization of 36344

Prime factors of 36344 are 2, 7, 11, 59. Prime factorization of 36344 in exponential form is:

36344 = 2³ × 7¹ × 11¹ × 59¹

Step-3: Factors of 36330

List of positive integer factors of 36330 that divides 36330 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 173, 210, 346, 519, 865, 1038, 1211, 1730, 2422, 2595, 3633, 5190, 6055, 7266, 12110, 18165

Step-4: Factors of 36344

List of positive integer factors of 36344 that divides 36330 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 59, 77, 88, 118, 154, 236, 308, 413, 472, 616, 649, 826, 1298, 1652, 2596, 3304, 4543, 5192, 9086, 18172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36330 and 36344. The biggest common factor number is the GCF number.
So the greatest common factor 36330 and 36344 is 14.

Also check out the Least Common Multiple of 36330 and 36344