What is the Greatest Common Factor of 88230 and 88245?

Greatest common factor (GCF) of 88230 and 88245 is 15.

GCF(88230,88245) = 15

We will now calculate the prime factors of 88230 and 88245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88230 and 88245.

How to find the GCF of 88230 and 88245?

We will first find the prime factorization of 88230 and 88245. After we will calculate the factors of 88230 and 88245 and find the biggest common factor number .

Step-1: Prime Factorization of 88230

Prime factors of 88230 are 2, 3, 5, 17, 173. Prime factorization of 88230 in exponential form is:

88230 = 2¹ × 3¹ × 5¹ × 17¹ × 173¹

Step-2: Prime Factorization of 88245

Prime factors of 88245 are 3, 5, 37, 53. Prime factorization of 88245 in exponential form is:

88245 = 3² × 5¹ × 37¹ × 53¹

Step-3: Factors of 88230

List of positive integer factors of 88230 that divides 88230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 173, 255, 346, 510, 519, 865, 1038, 1730, 2595, 2941, 5190, 5882, 8823, 14705, 17646, 29410, 44115

Step-4: Factors of 88245

List of positive integer factors of 88245 that divides 88230 without a remainder.

1, 3, 5, 9, 15, 37, 45, 53, 111, 159, 185, 265, 333, 477, 555, 795, 1665, 1961, 2385, 5883, 9805, 17649, 29415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88230 and 88245. The biggest common factor number is the GCF number.
So the greatest common factor 88230 and 88245 is 15.

Also check out the Least Common Multiple of 88230 and 88245