What is the Greatest Common Factor of 4312 and 4326?

Greatest common factor (GCF) of 4312 and 4326 is 14.

GCF(4312,4326) = 14

We will now calculate the prime factors of 4312 and 4326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4312 and 4326.

How to find the GCF of 4312 and 4326?

We will first find the prime factorization of 4312 and 4326. After we will calculate the factors of 4312 and 4326 and find the biggest common factor number .

Step-1: Prime Factorization of 4312

Prime factors of 4312 are 2, 7, 11. Prime factorization of 4312 in exponential form is:

4312 = 2³ × 7² × 11¹

Step-2: Prime Factorization of 4326

Prime factors of 4326 are 2, 3, 7, 103. Prime factorization of 4326 in exponential form is:

4326 = 2¹ × 3¹ × 7¹ × 103¹

Step-3: Factors of 4312

List of positive integer factors of 4312 that divides 4312 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156

Step-4: Factors of 4326

List of positive integer factors of 4326 that divides 4312 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4312 and 4326. The biggest common factor number is the GCF number.
So the greatest common factor 4312 and 4326 is 14.

Also check out the Least Common Multiple of 4312 and 4326