What is the Greatest Common Factor of 97870 and 97889?

Greatest common factor (GCF) of 97870 and 97889 is 1.

GCF(97870,97889) = 1

We will now calculate the prime factors of 97870 and 97889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97870 and 97889.

How to find the GCF of 97870 and 97889?

We will first find the prime factorization of 97870 and 97889. After we will calculate the factors of 97870 and 97889 and find the biggest common factor number .

Step-1: Prime Factorization of 97870

Prime factors of 97870 are 2, 5, 9787. Prime factorization of 97870 in exponential form is:

97870 = 2¹ × 5¹ × 9787¹

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 97870

List of positive integer factors of 97870 that divides 97870 without a remainder.

1, 2, 5, 10, 9787, 19574, 48935

Step-4: Factors of 97889

List of positive integer factors of 97889 that divides 97870 without a remainder.

1, 11, 121, 809, 8899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97870 and 97889. The biggest common factor number is the GCF number.
So the greatest common factor 97870 and 97889 is 1.

Also check out the Least Common Multiple of 97870 and 97889