What is the Greatest Common Factor of 9867 and 9883?

Greatest common factor (GCF) of 9867 and 9883 is 1.

GCF(9867,9883) = 1

We will now calculate the prime factors of 9867 and 9883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9867 and 9883.

How to find the GCF of 9867 and 9883?

We will first find the prime factorization of 9867 and 9883. After we will calculate the factors of 9867 and 9883 and find the biggest common factor number .

Step-1: Prime Factorization of 9867

Prime factors of 9867 are 3, 11, 13, 23. Prime factorization of 9867 in exponential form is:

9867 = 3¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 9883

Prime factors of 9883 are 9883. Prime factorization of 9883 in exponential form is:

9883 = 9883¹

Step-3: Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289

Step-4: Factors of 9883

List of positive integer factors of 9883 that divides 9867 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9867 and 9883. The biggest common factor number is the GCF number.
So the greatest common factor 9867 and 9883 is 1.

Also check out the Least Common Multiple of 9867 and 9883