What is the Greatest Common Factor of 9822 and 9831?

Greatest common factor (GCF) of 9822 and 9831 is 3.

GCF(9822,9831) = 3

We will now calculate the prime factors of 9822 and 9831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9822 and 9831.

How to find the GCF of 9822 and 9831?

We will first find the prime factorization of 9822 and 9831. After we will calculate the factors of 9822 and 9831 and find the biggest common factor number .

Step-1: Prime Factorization of 9822

Prime factors of 9822 are 2, 3, 1637. Prime factorization of 9822 in exponential form is:

9822 = 2¹ × 3¹ × 1637¹

Step-2: Prime Factorization of 9831

Prime factors of 9831 are 3, 29, 113. Prime factorization of 9831 in exponential form is:

9831 = 3¹ × 29¹ × 113¹

Step-3: Factors of 9822

List of positive integer factors of 9822 that divides 9822 without a remainder.

1, 2, 3, 6, 1637, 3274, 4911

Step-4: Factors of 9831

List of positive integer factors of 9831 that divides 9822 without a remainder.

1, 3, 29, 87, 113, 339, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9822 and 9831. The biggest common factor number is the GCF number.
So the greatest common factor 9822 and 9831 is 3.

Also check out the Least Common Multiple of 9822 and 9831