What is the Greatest Common Factor of 36250 and 36265?

Greatest common factor (GCF) of 36250 and 36265 is 5.

GCF(36250,36265) = 5

We will now calculate the prime factors of 36250 and 36265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36250 and 36265.

How to find the GCF of 36250 and 36265?

We will first find the prime factorization of 36250 and 36265. After we will calculate the factors of 36250 and 36265 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 36265

Prime factors of 36265 are 5, 7253. Prime factorization of 36265 in exponential form is:

36265 = 5¹ × 7253¹

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 36265

List of positive integer factors of 36265 that divides 36250 without a remainder.

1, 5, 7253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36250 and 36265. The biggest common factor number is the GCF number.
So the greatest common factor 36250 and 36265 is 5.

Also check out the Least Common Multiple of 36250 and 36265