What is the Greatest Common Factor of 61089 and 61107?

Greatest common factor (GCF) of 61089 and 61107 is 3.

GCF(61089,61107) = 3

We will now calculate the prime factors of 61089 and 61107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61089 and 61107.

How to find the GCF of 61089 and 61107?

We will first find the prime factorization of 61089 and 61107. After we will calculate the factors of 61089 and 61107 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 61107

Prime factors of 61107 are 3, 20369. Prime factorization of 61107 in exponential form is:

61107 = 3¹ × 20369¹

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 61107

List of positive integer factors of 61107 that divides 61089 without a remainder.

1, 3, 20369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61089 and 61107. The biggest common factor number is the GCF number.
So the greatest common factor 61089 and 61107 is 3.

Also check out the Least Common Multiple of 61089 and 61107