What is the Greatest Common Factor of 36244 and 36261?

Greatest common factor (GCF) of 36244 and 36261 is 17.

GCF(36244,36261) = 17

We will now calculate the prime factors of 36244 and 36261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36244 and 36261.

How to find the GCF of 36244 and 36261?

We will first find the prime factorization of 36244 and 36261. After we will calculate the factors of 36244 and 36261 and find the biggest common factor number .

Step-1: Prime Factorization of 36244

Prime factors of 36244 are 2, 13, 17, 41. Prime factorization of 36244 in exponential form is:

36244 = 2² × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 36261

Prime factors of 36261 are 3, 17, 79. Prime factorization of 36261 in exponential form is:

36261 = 3³ × 17¹ × 79¹

Step-3: Factors of 36244

List of positive integer factors of 36244 that divides 36244 without a remainder.

1, 2, 4, 13, 17, 26, 34, 41, 52, 68, 82, 164, 221, 442, 533, 697, 884, 1066, 1394, 2132, 2788, 9061, 18122

Step-4: Factors of 36261

List of positive integer factors of 36261 that divides 36244 without a remainder.

1, 3, 9, 17, 27, 51, 79, 153, 237, 459, 711, 1343, 2133, 4029, 12087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36244 and 36261. The biggest common factor number is the GCF number.
So the greatest common factor 36244 and 36261 is 17.

Also check out the Least Common Multiple of 36244 and 36261