What is the Greatest Common Factor of 14850 and 14870?

Greatest common factor (GCF) of 14850 and 14870 is 10.

GCF(14850,14870) = 10

We will now calculate the prime factors of 14850 and 14870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14850 and 14870.

How to find the GCF of 14850 and 14870?

We will first find the prime factorization of 14850 and 14870. After we will calculate the factors of 14850 and 14870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14870

Prime factors of 14870 are 2, 5, 1487. Prime factorization of 14870 in exponential form is:

14870 = 2¹ × 5¹ × 1487¹

Step-3: Factors of 14850

List of positive integer factors of 14850 that divides 14850 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

Step-4: Factors of 14870

List of positive integer factors of 14870 that divides 14850 without a remainder.

1, 2, 5, 10, 1487, 2974, 7435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14850 and 14870. The biggest common factor number is the GCF number.
So the greatest common factor 14850 and 14870 is 10.

Also check out the Least Common Multiple of 14850 and 14870