What is the Greatest Common Factor of 88350 and 88365?

Greatest common factor (GCF) of 88350 and 88365 is 15.

GCF(88350,88365) = 15

We will now calculate the prime factors of 88350 and 88365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88350 and 88365.

How to find the GCF of 88350 and 88365?

We will first find the prime factorization of 88350 and 88365. After we will calculate the factors of 88350 and 88365 and find the biggest common factor number .

Step-1: Prime Factorization of 88350

Prime factors of 88350 are 2, 3, 5, 19, 31. Prime factorization of 88350 in exponential form is:

88350 = 2¹ × 3¹ × 5² × 19¹ × 31¹

Step-2: Prime Factorization of 88365

Prime factors of 88365 are 3, 5, 43, 137. Prime factorization of 88365 in exponential form is:

88365 = 3¹ × 5¹ × 43¹ × 137¹

Step-3: Factors of 88350

List of positive integer factors of 88350 that divides 88350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 31, 38, 50, 57, 62, 75, 93, 95, 114, 150, 155, 186, 190, 285, 310, 465, 475, 570, 589, 775, 930, 950, 1178, 1425, 1550, 1767, 2325, 2850, 2945, 3534, 4650, 5890, 8835, 14725, 17670, 29450, 44175

Step-4: Factors of 88365

List of positive integer factors of 88365 that divides 88350 without a remainder.

1, 3, 5, 15, 43, 129, 137, 215, 411, 645, 685, 2055, 5891, 17673, 29455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88350 and 88365. The biggest common factor number is the GCF number.
So the greatest common factor 88350 and 88365 is 15.

Also check out the Least Common Multiple of 88350 and 88365