What is the Greatest Common Factor of 88335 and 88344?

Greatest common factor (GCF) of 88335 and 88344 is 9.

GCF(88335,88344) = 9

We will now calculate the prime factors of 88335 and 88344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88335 and 88344.

How to find the GCF of 88335 and 88344?

We will first find the prime factorization of 88335 and 88344. After we will calculate the factors of 88335 and 88344 and find the biggest common factor number .

Step-1: Prime Factorization of 88335

Prime factors of 88335 are 3, 5, 13, 151. Prime factorization of 88335 in exponential form is:

88335 = 3² × 5¹ × 13¹ × 151¹

Step-2: Prime Factorization of 88344

Prime factors of 88344 are 2, 3, 409. Prime factorization of 88344 in exponential form is:

88344 = 2³ × 3³ × 409¹

Step-3: Factors of 88335

List of positive integer factors of 88335 that divides 88335 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 151, 195, 453, 585, 755, 1359, 1963, 2265, 5889, 6795, 9815, 17667, 29445

Step-4: Factors of 88344

List of positive integer factors of 88344 that divides 88335 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 409, 818, 1227, 1636, 2454, 3272, 3681, 4908, 7362, 9816, 11043, 14724, 22086, 29448, 44172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88335 and 88344. The biggest common factor number is the GCF number.
So the greatest common factor 88335 and 88344 is 9.

Also check out the Least Common Multiple of 88335 and 88344