What is the Greatest Common Factor of 9814 and 9829?

Greatest common factor (GCF) of 9814 and 9829 is 1.

GCF(9814,9829) = 1

We will now calculate the prime factors of 9814 and 9829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9814 and 9829.

How to find the GCF of 9814 and 9829?

We will first find the prime factorization of 9814 and 9829. After we will calculate the factors of 9814 and 9829 and find the biggest common factor number .

Step-1: Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

Step-2: Prime Factorization of 9829

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 9829¹

Step-3: Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Step-4: Factors of 9829

List of positive integer factors of 9829 that divides 9814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9814 and 9829. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9829 is 1.

Also check out the Least Common Multiple of 9814 and 9829