What is the Greatest Common Factor of 88350 and 88366?

Greatest common factor (GCF) of 88350 and 88366 is 2.

GCF(88350,88366) = 2

We will now calculate the prime factors of 88350 and 88366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88350 and 88366.

How to find the GCF of 88350 and 88366?

We will first find the prime factorization of 88350 and 88366. After we will calculate the factors of 88350 and 88366 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 88366

Prime factors of 88366 are 2, 17, 23, 113. Prime factorization of 88366 in exponential form is:

88366 = 2¹ × 17¹ × 23¹ × 113¹

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 88366

List of positive integer factors of 88366 that divides 88350 without a remainder.

1, 2, 17, 23, 34, 46, 113, 226, 391, 782, 1921, 2599, 3842, 5198, 44183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88350 and 88366. The biggest common factor number is the GCF number.
So the greatest common factor 88350 and 88366 is 2.

Also check out the Least Common Multiple of 88350 and 88366