What is the Greatest Common Factor of 9869 and 9888?

Greatest common factor (GCF) of 9869 and 9888 is 1.

GCF(9869,9888) = 1

We will now calculate the prime factors of 9869 and 9888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9869 and 9888.

How to find the GCF of 9869 and 9888?

We will first find the prime factorization of 9869 and 9888. After we will calculate the factors of 9869 and 9888 and find the biggest common factor number .

Step-1: Prime Factorization of 9869

Prime factors of 9869 are 71, 139. Prime factorization of 9869 in exponential form is:

9869 = 71¹ × 139¹

Step-2: Prime Factorization of 9888

Prime factors of 9888 are 2, 3, 103. Prime factorization of 9888 in exponential form is:

9888 = 2⁵ × 3¹ × 103¹

Step-3: Factors of 9869

List of positive integer factors of 9869 that divides 9869 without a remainder.

1, 71, 139

Step-4: Factors of 9888

List of positive integer factors of 9888 that divides 9869 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9869 and 9888. The biggest common factor number is the GCF number.
So the greatest common factor 9869 and 9888 is 1.

Also check out the Least Common Multiple of 9869 and 9888