What is the Greatest Common Factor of 36250 and 36270?

Greatest common factor (GCF) of 36250 and 36270 is 10.

GCF(36250,36270) = 10

We will now calculate the prime factors of 36250 and 36270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36250 and 36270.

How to find the GCF of 36250 and 36270?

We will first find the prime factorization of 36250 and 36270. After we will calculate the factors of 36250 and 36270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36270

Prime factors of 36270 are 2, 3, 5, 13, 31. Prime factorization of 36270 in exponential form is:

36270 = 2¹ × 3² × 5¹ × 13¹ × 31¹

Step-3: Factors of 36250

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

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

Step-4: Factors of 36270

List of positive integer factors of 36270 that divides 36250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 31, 39, 45, 62, 65, 78, 90, 93, 117, 130, 155, 186, 195, 234, 279, 310, 390, 403, 465, 558, 585, 806, 930, 1170, 1209, 1395, 2015, 2418, 2790, 3627, 4030, 6045, 7254, 12090, 18135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36250 and 36270. The biggest common factor number is the GCF number.
So the greatest common factor 36250 and 36270 is 10.

Also check out the Least Common Multiple of 36250 and 36270