What is the Greatest Common Factor of 36209 and 36225?

Greatest common factor (GCF) of 36209 and 36225 is 1.

GCF(36209,36225) = 1

We will now calculate the prime factors of 36209 and 36225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36209 and 36225.

How to find the GCF of 36209 and 36225?

We will first find the prime factorization of 36209 and 36225. After we will calculate the factors of 36209 and 36225 and find the biggest common factor number .

Step-1: Prime Factorization of 36209

Prime factors of 36209 are 36209. Prime factorization of 36209 in exponential form is:

36209 = 36209¹

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 36209

List of positive integer factors of 36209 that divides 36209 without a remainder.

Step-4: Factors of 36225

List of positive integer factors of 36225 that divides 36209 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 36209 and 36225. The biggest common factor number is the GCF number.
So the greatest common factor 36209 and 36225 is 1.

Also check out the Least Common Multiple of 36209 and 36225