What is the Greatest Common Factor of 10834 and 10850?

Greatest common factor (GCF) of 10834 and 10850 is 2.

GCF(10834,10850) = 2

We will now calculate the prime factors of 10834 and 10850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10834 and 10850.

How to find the GCF of 10834 and 10850?

We will first find the prime factorization of 10834 and 10850. After we will calculate the factors of 10834 and 10850 and find the biggest common factor number .

Step-1: Prime Factorization of 10834

Prime factors of 10834 are 2, 5417. Prime factorization of 10834 in exponential form is:

10834 = 2¹ × 5417¹

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 10834

List of positive integer factors of 10834 that divides 10834 without a remainder.

1, 2, 5417

Step-4: Factors of 10850

List of positive integer factors of 10850 that divides 10834 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 10834 and 10850. The biggest common factor number is the GCF number.
So the greatest common factor 10834 and 10850 is 2.

Also check out the Least Common Multiple of 10834 and 10850