What is the Greatest Common Factor of 61089 and 61098?

Greatest common factor (GCF) of 61089 and 61098 is 3.

GCF(61089,61098) = 3

We will now calculate the prime factors of 61089 and 61098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61089 and 61098.

How to find the GCF of 61089 and 61098?

We will first find the prime factorization of 61089 and 61098. After we will calculate the factors of 61089 and 61098 and find the biggest common factor number .

Step-1: Prime Factorization of 61089

Prime factors of 61089 are 3, 7, 2909. Prime factorization of 61089 in exponential form is:

61089 = 3¹ × 7¹ × 2909¹

Step-2: Prime Factorization of 61098

Prime factors of 61098 are 2, 3, 17, 599. Prime factorization of 61098 in exponential form is:

61098 = 2¹ × 3¹ × 17¹ × 599¹

Step-3: Factors of 61089

List of positive integer factors of 61089 that divides 61089 without a remainder.

1, 3, 7, 21, 2909, 8727, 20363

Step-4: Factors of 61098

List of positive integer factors of 61098 that divides 61089 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 599, 1198, 1797, 3594, 10183, 20366, 30549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61089 and 61098. The biggest common factor number is the GCF number.
So the greatest common factor 61089 and 61098 is 3.

Also check out the Least Common Multiple of 61089 and 61098