What is the Greatest Common Factor of 97869 and 97889?

Greatest common factor (GCF) of 97869 and 97889 is 1.

GCF(97869,97889) = 1

We will now calculate the prime factors of 97869 and 97889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97869 and 97889.

How to find the GCF of 97869 and 97889?

We will first find the prime factorization of 97869 and 97889. After we will calculate the factors of 97869 and 97889 and find the biggest common factor number .

Step-1: Prime Factorization of 97869

Prime factors of 97869 are 3, 17, 19, 101. Prime factorization of 97869 in exponential form is:

97869 = 3¹ × 17¹ × 19¹ × 101¹

Step-2: Prime Factorization of 97889

Prime factors of 97889 are 11, 809. Prime factorization of 97889 in exponential form is:

97889 = 11² × 809¹

Step-3: Factors of 97869

List of positive integer factors of 97869 that divides 97869 without a remainder.

1, 3, 17, 19, 51, 57, 101, 303, 323, 969, 1717, 1919, 5151, 5757, 32623

Step-4: Factors of 97889

List of positive integer factors of 97889 that divides 97869 without a remainder.

1, 11, 121, 809, 8899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97869 and 97889. The biggest common factor number is the GCF number.
So the greatest common factor 97869 and 97889 is 1.

Also check out the Least Common Multiple of 97869 and 97889