What is the Greatest Common Factor of 61089 and 61100?

Greatest common factor (GCF) of 61089 and 61100 is 1.

GCF(61089,61100) = 1

We will now calculate the prime factors of 61089 and 61100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61089 and 61100.

How to find the GCF of 61089 and 61100?

We will first find the prime factorization of 61089 and 61100. After we will calculate the factors of 61089 and 61100 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 61100

Prime factors of 61100 are 2, 5, 13, 47. Prime factorization of 61100 in exponential form is:

61100 = 2² × 5² × 13¹ × 47¹

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 61100

List of positive integer factors of 61100 that divides 61089 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 47, 50, 52, 65, 94, 100, 130, 188, 235, 260, 325, 470, 611, 650, 940, 1175, 1222, 1300, 2350, 2444, 3055, 4700, 6110, 12220, 15275, 30550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61089 and 61100. The biggest common factor number is the GCF number.
So the greatest common factor 61089 and 61100 is 1.

Also check out the Least Common Multiple of 61089 and 61100