What is the Greatest Common Factor of 36250 and 36261?

Greatest common factor (GCF) of 36250 and 36261 is 1.

GCF(36250,36261) = 1

We will now calculate the prime factors of 36250 and 36261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36250 and 36261.

How to find the GCF of 36250 and 36261?

We will first find the prime factorization of 36250 and 36261. After we will calculate the factors of 36250 and 36261 and find the biggest common factor number .

Step-1: Prime Factorization of 36250

Prime factors of 36250 are 2, 5, 29. Prime factorization of 36250 in exponential form is:

36250 = 2¹ × 5⁴ × 29¹

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 36250

List of positive integer factors of 36250 that divides 36250 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 625, 725, 1250, 1450, 3625, 7250, 18125

Step-4: Factors of 36261

List of positive integer factors of 36261 that divides 36250 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 36250 and 36261. The biggest common factor number is the GCF number.
So the greatest common factor 36250 and 36261 is 1.

Also check out the Least Common Multiple of 36250 and 36261