What is the Greatest Common Factor of 88344 and 88362?

Greatest common factor (GCF) of 88344 and 88362 is 18.

GCF(88344,88362) = 18

We will now calculate the prime factors of 88344 and 88362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88344 and 88362.

How to find the GCF of 88344 and 88362?

We will first find the prime factorization of 88344 and 88362. After we will calculate the factors of 88344 and 88362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88362

Prime factors of 88362 are 2, 3, 4909. Prime factorization of 88362 in exponential form is:

88362 = 2¹ × 3² × 4909¹

Step-3: Factors of 88344

List of positive integer factors of 88344 that divides 88344 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

Step-4: Factors of 88362

List of positive integer factors of 88362 that divides 88344 without a remainder.

1, 2, 3, 6, 9, 18, 4909, 9818, 14727, 29454, 44181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88344 and 88362. The biggest common factor number is the GCF number.
So the greatest common factor 88344 and 88362 is 18.

Also check out the Least Common Multiple of 88344 and 88362