What is the Greatest Common Factor of 36225 and 36239?

Greatest common factor (GCF) of 36225 and 36239 is 7.

GCF(36225,36239) = 7

We will now calculate the prime factors of 36225 and 36239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36225 and 36239.

How to find the GCF of 36225 and 36239?

We will first find the prime factorization of 36225 and 36239. After we will calculate the factors of 36225 and 36239 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 36239

Prime factors of 36239 are 7, 31, 167. Prime factorization of 36239 in exponential form is:

36239 = 7¹ × 31¹ × 167¹

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 36239

List of positive integer factors of 36239 that divides 36225 without a remainder.

1, 7, 31, 167, 217, 1169, 5177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36225 and 36239. The biggest common factor number is the GCF number.
So the greatest common factor 36225 and 36239 is 7.

Also check out the Least Common Multiple of 36225 and 36239