What is the Greatest Common Factor of 14839 and 14850?

Greatest common factor (GCF) of 14839 and 14850 is 11.

GCF(14839,14850) = 11

We will now calculate the prime factors of 14839 and 14850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14839 and 14850.

How to find the GCF of 14839 and 14850?

We will first find the prime factorization of 14839 and 14850. After we will calculate the factors of 14839 and 14850 and find the biggest common factor number .

Step-1: Prime Factorization of 14839

Prime factors of 14839 are 11, 19, 71. Prime factorization of 14839 in exponential form is:

14839 = 11¹ × 19¹ × 71¹

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 14839

List of positive integer factors of 14839 that divides 14839 without a remainder.

1, 11, 19, 71, 209, 781, 1349

Step-4: Factors of 14850

List of positive integer factors of 14850 that divides 14839 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 14839 and 14850. The biggest common factor number is the GCF number.
So the greatest common factor 14839 and 14850 is 11.

Also check out the Least Common Multiple of 14839 and 14850