What is the Greatest Common Factor of 90891 and 90898?

Greatest common factor (GCF) of 90891 and 90898 is 1.

GCF(90891,90898) = 1

We will now calculate the prime factors of 90891 and 90898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90891 and 90898.

How to find the GCF of 90891 and 90898?

We will first find the prime factorization of 90891 and 90898. After we will calculate the factors of 90891 and 90898 and find the biggest common factor number .

Step-1: Prime Factorization of 90891

Prime factors of 90891 are 3, 10099. Prime factorization of 90891 in exponential form is:

90891 = 3² × 10099¹

Step-2: Prime Factorization of 90898

Prime factors of 90898 are 2, 47, 967. Prime factorization of 90898 in exponential form is:

90898 = 2¹ × 47¹ × 967¹

Step-3: Factors of 90891

List of positive integer factors of 90891 that divides 90891 without a remainder.

1, 3, 9, 10099, 30297

Step-4: Factors of 90898

List of positive integer factors of 90898 that divides 90891 without a remainder.

1, 2, 47, 94, 967, 1934, 45449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90891 and 90898. The biggest common factor number is the GCF number.
So the greatest common factor 90891 and 90898 is 1.

Also check out the Least Common Multiple of 90891 and 90898