What is the Greatest Common Factor of 36230 and 36240?

Greatest common factor (GCF) of 36230 and 36240 is 10.

GCF(36230,36240) = 10

We will now calculate the prime factors of 36230 and 36240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36230 and 36240.

How to find the GCF of 36230 and 36240?

We will first find the prime factorization of 36230 and 36240. After we will calculate the factors of 36230 and 36240 and find the biggest common factor number .

Step-1: Prime Factorization of 36230

Prime factors of 36230 are 2, 5, 3623. Prime factorization of 36230 in exponential form is:

36230 = 2¹ × 5¹ × 3623¹

Step-2: 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-3: Factors of 36230

List of positive integer factors of 36230 that divides 36230 without a remainder.

1, 2, 5, 10, 3623, 7246, 18115

Step-4: Factors of 36240

List of positive integer factors of 36240 that divides 36230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36230 and 36240. The biggest common factor number is the GCF number.
So the greatest common factor 36230 and 36240 is 10.

Also check out the Least Common Multiple of 36230 and 36240