What is the Greatest Common Factor of 88344 and 88364?

Greatest common factor (GCF) of 88344 and 88364 is 4.

GCF(88344,88364) = 4

We will now calculate the prime factors of 88344 and 88364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88344 and 88364.

How to find the GCF of 88344 and 88364?

We will first find the prime factorization of 88344 and 88364. After we will calculate the factors of 88344 and 88364 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 88364

Prime factors of 88364 are 2, 22091. Prime factorization of 88364 in exponential form is:

88364 = 2² × 22091¹

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 88364

List of positive integer factors of 88364 that divides 88344 without a remainder.

1, 2, 4, 22091, 44182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88344 and 88364. The biggest common factor number is the GCF number.
So the greatest common factor 88344 and 88364 is 4.

Also check out the Least Common Multiple of 88344 and 88364