What is the Greatest Common Factor of 36240 and 36250?

Greatest common factor (GCF) of 36240 and 36250 is 10.

GCF(36240,36250) = 10

We will now calculate the prime factors of 36240 and 36250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36240 and 36250.

How to find the GCF of 36240 and 36250?

We will first find the prime factorization of 36240 and 36250. After we will calculate the factors of 36240 and 36250 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 36250

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

36250 = 2¹ × 5⁴ × 29¹

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 36250

List of positive integer factors of 36250 that divides 36240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36240 and 36250. The biggest common factor number is the GCF number.
So the greatest common factor 36240 and 36250 is 10.

Also check out the Least Common Multiple of 36240 and 36250