What is the Greatest Common Factor of 36240 and 36260?

Greatest common factor (GCF) of 36240 and 36260 is 20.

GCF(36240,36260) = 20

We will now calculate the prime factors of 36240 and 36260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36240 and 36260.

How to find the GCF of 36240 and 36260?

We will first find the prime factorization of 36240 and 36260. After we will calculate the factors of 36240 and 36260 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 36260

Prime factors of 36260 are 2, 5, 7, 37. Prime factorization of 36260 in exponential form is:

36260 = 2² × 5¹ × 7² × 37¹

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 36260

List of positive integer factors of 36260 that divides 36240 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 49, 70, 74, 98, 140, 148, 185, 196, 245, 259, 370, 490, 518, 740, 980, 1036, 1295, 1813, 2590, 3626, 5180, 7252, 9065, 18130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36240 and 36260. The biggest common factor number is the GCF number.
So the greatest common factor 36240 and 36260 is 20.

Also check out the Least Common Multiple of 36240 and 36260