What is the Greatest Common Factor of 88350 and 88369?

Greatest common factor (GCF) of 88350 and 88369 is 19.

GCF(88350,88369) = 19

We will now calculate the prime factors of 88350 and 88369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88350 and 88369.

How to find the GCF of 88350 and 88369?

We will first find the prime factorization of 88350 and 88369. After we will calculate the factors of 88350 and 88369 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 88369

Prime factors of 88369 are 19, 4651. Prime factorization of 88369 in exponential form is:

88369 = 19¹ × 4651¹

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 88369

List of positive integer factors of 88369 that divides 88350 without a remainder.

1, 19, 4651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88350 and 88369. The biggest common factor number is the GCF number.
So the greatest common factor 88350 and 88369 is 19.

Also check out the Least Common Multiple of 88350 and 88369