What is the Greatest Common Factor of 36215 and 36225?

Greatest common factor (GCF) of 36215 and 36225 is 5.

GCF(36215,36225) = 5

We will now calculate the prime factors of 36215 and 36225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36215 and 36225.

How to find the GCF of 36215 and 36225?

We will first find the prime factorization of 36215 and 36225. After we will calculate the factors of 36215 and 36225 and find the biggest common factor number .

Step-1: Prime Factorization of 36215

Prime factors of 36215 are 5, 7243. Prime factorization of 36215 in exponential form is:

36215 = 5¹ × 7243¹

Step-2: Prime Factorization of 36225

Prime factors of 36225 are 3, 5, 7, 23. Prime factorization of 36225 in exponential form is:

36225 = 3² × 5² × 7¹ × 23¹

Step-3: Factors of 36215

List of positive integer factors of 36215 that divides 36215 without a remainder.

1, 5, 7243

Step-4: Factors of 36225

List of positive integer factors of 36225 that divides 36215 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 25, 35, 45, 63, 69, 75, 105, 115, 161, 175, 207, 225, 315, 345, 483, 525, 575, 805, 1035, 1449, 1575, 1725, 2415, 4025, 5175, 7245, 12075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36215 and 36225. The biggest common factor number is the GCF number.
So the greatest common factor 36215 and 36225 is 5.

Also check out the Least Common Multiple of 36215 and 36225