What is the Greatest Common Factor of 36225 and 36231?

Greatest common factor (GCF) of 36225 and 36231 is 3.

GCF(36225,36231) = 3

We will now calculate the prime factors of 36225 and 36231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36225 and 36231.

How to find the GCF of 36225 and 36231?

We will first find the prime factorization of 36225 and 36231. After we will calculate the factors of 36225 and 36231 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36231

Prime factors of 36231 are 3, 13, 929. Prime factorization of 36231 in exponential form is:

36231 = 3¹ × 13¹ × 929¹

Step-3: Factors of 36225

List of positive integer factors of 36225 that divides 36225 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

Step-4: Factors of 36231

List of positive integer factors of 36231 that divides 36225 without a remainder.

1, 3, 13, 39, 929, 2787, 12077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36225 and 36231. The biggest common factor number is the GCF number.
So the greatest common factor 36225 and 36231 is 3.

Also check out the Least Common Multiple of 36225 and 36231