What is the Greatest Common Factor of 10830 and 10850?

Greatest common factor (GCF) of 10830 and 10850 is 10.

GCF(10830,10850) = 10

We will now calculate the prime factors of 10830 and 10850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10830 and 10850.

How to find the GCF of 10830 and 10850?

We will first find the prime factorization of 10830 and 10850. After we will calculate the factors of 10830 and 10850 and find the biggest common factor number .

Step-1: Prime Factorization of 10830

Prime factors of 10830 are 2, 3, 5, 19. Prime factorization of 10830 in exponential form is:

10830 = 2¹ × 3¹ × 5¹ × 19²

Step-2: Prime Factorization of 10850

Prime factors of 10850 are 2, 5, 7, 31. Prime factorization of 10850 in exponential form is:

10850 = 2¹ × 5² × 7¹ × 31¹

Step-3: Factors of 10830

List of positive integer factors of 10830 that divides 10830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 361, 570, 722, 1083, 1805, 2166, 3610, 5415

Step-4: Factors of 10850

List of positive integer factors of 10850 that divides 10830 without a remainder.

1, 2, 5, 7, 10, 14, 25, 31, 35, 50, 62, 70, 155, 175, 217, 310, 350, 434, 775, 1085, 1550, 2170, 5425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10830 and 10850. The biggest common factor number is the GCF number.
So the greatest common factor 10830 and 10850 is 10.

Also check out the Least Common Multiple of 10830 and 10850