What is the Greatest Common Factor of 88331 and 88350?

Greatest common factor (GCF) of 88331 and 88350 is 19.

GCF(88331,88350) = 19

We will now calculate the prime factors of 88331 and 88350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88331 and 88350.

How to find the GCF of 88331 and 88350?

We will first find the prime factorization of 88331 and 88350. After we will calculate the factors of 88331 and 88350 and find the biggest common factor number .

Step-1: Prime Factorization of 88331

Prime factors of 88331 are 19, 4649. Prime factorization of 88331 in exponential form is:

88331 = 19¹ × 4649¹

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 88331

List of positive integer factors of 88331 that divides 88331 without a remainder.

1, 19, 4649

Step-4: Factors of 88350

List of positive integer factors of 88350 that divides 88331 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 88331 and 88350. The biggest common factor number is the GCF number.
So the greatest common factor 88331 and 88350 is 19.

Also check out the Least Common Multiple of 88331 and 88350