What is the Greatest Common Factor of 61089 and 61101?

Greatest common factor (GCF) of 61089 and 61101 is 3.

GCF(61089,61101) = 3

We will now calculate the prime factors of 61089 and 61101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61089 and 61101.

How to find the GCF of 61089 and 61101?

We will first find the prime factorization of 61089 and 61101. After we will calculate the factors of 61089 and 61101 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 61101

Prime factors of 61101 are 3, 31, 73. Prime factorization of 61101 in exponential form is:

61101 = 3³ × 31¹ × 73¹

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 61101

List of positive integer factors of 61101 that divides 61089 without a remainder.

1, 3, 9, 27, 31, 73, 93, 219, 279, 657, 837, 1971, 2263, 6789, 20367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61089 and 61101. The biggest common factor number is the GCF number.
So the greatest common factor 61089 and 61101 is 3.

Also check out the Least Common Multiple of 61089 and 61101