What is the Greatest Common Factor of 10829 and 10847?

Greatest common factor (GCF) of 10829 and 10847 is 1.

GCF(10829,10847) = 1

We will now calculate the prime factors of 10829 and 10847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10829 and 10847.

How to find the GCF of 10829 and 10847?

We will first find the prime factorization of 10829 and 10847. After we will calculate the factors of 10829 and 10847 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 10847

Prime factors of 10847 are 10847. Prime factorization of 10847 in exponential form is:

10847 = 10847¹

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 10847

List of positive integer factors of 10847 that divides 10829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10829 and 10847. The biggest common factor number is the GCF number.
So the greatest common factor 10829 and 10847 is 1.

Also check out the Least Common Multiple of 10829 and 10847