What is the Greatest Common Factor of 28344 and 28348?

Greatest common factor (GCF) of 28344 and 28348 is 4.

GCF(28344,28348) = 4

We will now calculate the prime factors of 28344 and 28348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28344 and 28348.

How to find the GCF of 28344 and 28348?

We will first find the prime factorization of 28344 and 28348. After we will calculate the factors of 28344 and 28348 and find the biggest common factor number .

Step-1: Prime Factorization of 28344

Prime factors of 28344 are 2, 3, 1181. Prime factorization of 28344 in exponential form is:

28344 = 2³ × 3¹ × 1181¹

Step-2: Prime Factorization of 28348

Prime factors of 28348 are 2, 19, 373. Prime factorization of 28348 in exponential form is:

28348 = 2² × 19¹ × 373¹

Step-3: Factors of 28344

List of positive integer factors of 28344 that divides 28344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1181, 2362, 3543, 4724, 7086, 9448, 14172

Step-4: Factors of 28348

List of positive integer factors of 28348 that divides 28344 without a remainder.

1, 2, 4, 19, 38, 76, 373, 746, 1492, 7087, 14174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28344 and 28348. The biggest common factor number is the GCF number.
So the greatest common factor 28344 and 28348 is 4.

Also check out the Least Common Multiple of 28344 and 28348