What is the Greatest Common Factor of 88341 and 88350?

Greatest common factor (GCF) of 88341 and 88350 is 3.

GCF(88341,88350) = 3

We will now calculate the prime factors of 88341 and 88350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88341 and 88350.

How to find the GCF of 88341 and 88350?

We will first find the prime factorization of 88341 and 88350. After we will calculate the factors of 88341 and 88350 and find the biggest common factor number .

Step-1: Prime Factorization of 88341

Prime factors of 88341 are 3, 11, 2677. Prime factorization of 88341 in exponential form is:

88341 = 3¹ × 11¹ × 2677¹

Step-2: 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-3: Factors of 88341

List of positive integer factors of 88341 that divides 88341 without a remainder.

1, 3, 11, 33, 2677, 8031, 29447

Step-4: Factors of 88350

List of positive integer factors of 88350 that divides 88341 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88341 and 88350. The biggest common factor number is the GCF number.
So the greatest common factor 88341 and 88350 is 3.

Also check out the Least Common Multiple of 88341 and 88350