What is the Greatest Common Factor of 36240 and 36259?

Greatest common factor (GCF) of 36240 and 36259 is 1.

GCF(36240,36259) = 1

We will now calculate the prime factors of 36240 and 36259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36240 and 36259.

How to find the GCF of 36240 and 36259?

We will first find the prime factorization of 36240 and 36259. After we will calculate the factors of 36240 and 36259 and find the biggest common factor number .

Step-1: Prime Factorization of 36240

Prime factors of 36240 are 2, 3, 5, 151. Prime factorization of 36240 in exponential form is:

36240 = 2⁴ × 3¹ × 5¹ × 151¹

Step-2: Prime Factorization of 36259

Prime factors of 36259 are 101, 359. Prime factorization of 36259 in exponential form is:

36259 = 101¹ × 359¹

Step-3: Factors of 36240

List of positive integer factors of 36240 that divides 36240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 151, 240, 302, 453, 604, 755, 906, 1208, 1510, 1812, 2265, 2416, 3020, 3624, 4530, 6040, 7248, 9060, 12080, 18120

Step-4: Factors of 36259

List of positive integer factors of 36259 that divides 36240 without a remainder.

1, 101, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36240 and 36259. The biggest common factor number is the GCF number.
So the greatest common factor 36240 and 36259 is 1.

Also check out the Least Common Multiple of 36240 and 36259