What is the Greatest Common Factor of 36231 and 36240?

Greatest common factor (GCF) of 36231 and 36240 is 3.

GCF(36231,36240) = 3

We will now calculate the prime factors of 36231 and 36240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36231 and 36240.

How to find the GCF of 36231 and 36240?

We will first find the prime factorization of 36231 and 36240. After we will calculate the factors of 36231 and 36240 and find the biggest common factor number .

Step-1: Prime Factorization of 36231

Prime factors of 36231 are 3, 13, 929. Prime factorization of 36231 in exponential form is:

36231 = 3¹ × 13¹ × 929¹

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 36231

List of positive integer factors of 36231 that divides 36231 without a remainder.

1, 3, 13, 39, 929, 2787, 12077

Step-4: Factors of 36240

List of positive integer factors of 36240 that divides 36231 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 36231 and 36240. The biggest common factor number is the GCF number.
So the greatest common factor 36231 and 36240 is 3.

Also check out the Least Common Multiple of 36231 and 36240