What is the Greatest Common Factor of 9852 and 9857?

Greatest common factor (GCF) of 9852 and 9857 is 1.

GCF(9852,9857) = 1

We will now calculate the prime factors of 9852 and 9857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9852 and 9857.

How to find the GCF of 9852 and 9857?

We will first find the prime factorization of 9852 and 9857. After we will calculate the factors of 9852 and 9857 and find the biggest common factor number .

Step-1: Prime Factorization of 9852

Prime factors of 9852 are 2, 3, 821. Prime factorization of 9852 in exponential form is:

9852 = 2² × 3¹ × 821¹

Step-2: Prime Factorization of 9857

Prime factors of 9857 are 9857. Prime factorization of 9857 in exponential form is:

9857 = 9857¹

Step-3: Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926

Step-4: Factors of 9857

List of positive integer factors of 9857 that divides 9852 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9852 and 9857. The biggest common factor number is the GCF number.
So the greatest common factor 9852 and 9857 is 1.

Also check out the Least Common Multiple of 9852 and 9857