What is the Greatest Common Factor of 14838 and 14850?

Greatest common factor (GCF) of 14838 and 14850 is 6.

GCF(14838,14850) = 6

We will now calculate the prime factors of 14838 and 14850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14838 and 14850.

How to find the GCF of 14838 and 14850?

We will first find the prime factorization of 14838 and 14850. After we will calculate the factors of 14838 and 14850 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 14850

Prime factors of 14850 are 2, 3, 5, 11. Prime factorization of 14850 in exponential form is:

14850 = 2¹ × 3³ × 5² × 11¹

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 14850

List of positive integer factors of 14850 that divides 14838 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45, 50, 54, 55, 66, 75, 90, 99, 110, 135, 150, 165, 198, 225, 270, 275, 297, 330, 450, 495, 550, 594, 675, 825, 990, 1350, 1485, 1650, 2475, 2970, 4950, 7425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14838 and 14850. The biggest common factor number is the GCF number.
So the greatest common factor 14838 and 14850 is 6.

Also check out the Least Common Multiple of 14838 and 14850