What is the Greatest Common Factor of 52230 and 52245?

Greatest common factor (GCF) of 52230 and 52245 is 15.

GCF(52230,52245) = 15

We will now calculate the prime factors of 52230 and 52245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52230 and 52245.

How to find the GCF of 52230 and 52245?

We will first find the prime factorization of 52230 and 52245. After we will calculate the factors of 52230 and 52245 and find the biggest common factor number .

Step-1: Prime Factorization of 52230

Prime factors of 52230 are 2, 3, 5, 1741. Prime factorization of 52230 in exponential form is:

52230 = 2¹ × 3¹ × 5¹ × 1741¹

Step-2: Prime Factorization of 52245

Prime factors of 52245 are 3, 5, 43. Prime factorization of 52245 in exponential form is:

52245 = 3⁵ × 5¹ × 43¹

Step-3: Factors of 52230

List of positive integer factors of 52230 that divides 52230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1741, 3482, 5223, 8705, 10446, 17410, 26115

Step-4: Factors of 52245

List of positive integer factors of 52245 that divides 52230 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 81, 129, 135, 215, 243, 387, 405, 645, 1161, 1215, 1935, 3483, 5805, 10449, 17415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52230 and 52245. The biggest common factor number is the GCF number.
So the greatest common factor 52230 and 52245 is 15.

Also check out the Least Common Multiple of 52230 and 52245