What is the Greatest Common Factor of 97880 and 97889?

Greatest common factor (GCF) of 97880 and 97889 is 1.

GCF(97880,97889) = 1

We will now calculate the prime factors of 97880 and 97889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97880 and 97889.

How to find the GCF of 97880 and 97889?

We will first find the prime factorization of 97880 and 97889. After we will calculate the factors of 97880 and 97889 and find the biggest common factor number .

Step-1: Prime Factorization of 97880

Prime factors of 97880 are 2, 5, 2447. Prime factorization of 97880 in exponential form is:

97880 = 2³ × 5¹ × 2447¹

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 97880

List of positive integer factors of 97880 that divides 97880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2447, 4894, 9788, 12235, 19576, 24470, 48940

Step-4: Factors of 97889

List of positive integer factors of 97889 that divides 97880 without a remainder.

1, 11, 121, 809, 8899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97880 and 97889. The biggest common factor number is the GCF number.
So the greatest common factor 97880 and 97889 is 1.

Also check out the Least Common Multiple of 97880 and 97889