What is the Greatest Common Factor of 10829 and 10846?

Greatest common factor (GCF) of 10829 and 10846 is 17.

GCF(10829,10846) = 17

We will now calculate the prime factors of 10829 and 10846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10829 and 10846.

How to find the GCF of 10829 and 10846?

We will first find the prime factorization of 10829 and 10846. After we will calculate the factors of 10829 and 10846 and find the biggest common factor number .

Step-1: Prime Factorization of 10829

Prime factors of 10829 are 7, 13, 17. Prime factorization of 10829 in exponential form is:

10829 = 7² × 13¹ × 17¹

Step-2: Prime Factorization of 10846

Prime factors of 10846 are 2, 11, 17, 29. Prime factorization of 10846 in exponential form is:

10846 = 2¹ × 11¹ × 17¹ × 29¹

Step-3: Factors of 10829

List of positive integer factors of 10829 that divides 10829 without a remainder.

1, 7, 13, 17, 49, 91, 119, 221, 637, 833, 1547

Step-4: Factors of 10846

List of positive integer factors of 10846 that divides 10829 without a remainder.

1, 2, 11, 17, 22, 29, 34, 58, 187, 319, 374, 493, 638, 986, 5423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10829 and 10846. The biggest common factor number is the GCF number.
So the greatest common factor 10829 and 10846 is 17.

Also check out the Least Common Multiple of 10829 and 10846