What is the Greatest Common Factor of 14838 and 14844?

Greatest common factor (GCF) of 14838 and 14844 is 6.

GCF(14838,14844) = 6

We will now calculate the prime factors of 14838 and 14844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14838 and 14844.

How to find the GCF of 14838 and 14844?

We will first find the prime factorization of 14838 and 14844. After we will calculate the factors of 14838 and 14844 and find the biggest common factor number .

Step-1: Prime Factorization of 14838

Prime factors of 14838 are 2, 3, 2473. Prime factorization of 14838 in exponential form is:

14838 = 2¹ × 3¹ × 2473¹

Step-2: Prime Factorization of 14844

Prime factors of 14844 are 2, 3, 1237. Prime factorization of 14844 in exponential form is:

14844 = 2² × 3¹ × 1237¹

Step-3: Factors of 14838

List of positive integer factors of 14838 that divides 14838 without a remainder.

1, 2, 3, 6, 2473, 4946, 7419

Step-4: Factors of 14844

List of positive integer factors of 14844 that divides 14838 without a remainder.

1, 2, 3, 4, 6, 12, 1237, 2474, 3711, 4948, 7422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14838 and 14844. The biggest common factor number is the GCF number.
So the greatest common factor 14838 and 14844 is 6.

Also check out the Least Common Multiple of 14838 and 14844