What is the Greatest Common Factor of 61072 and 61089?

Greatest common factor (GCF) of 61072 and 61089 is 1.

GCF(61072,61089) = 1

We will now calculate the prime factors of 61072 and 61089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61072 and 61089.

How to find the GCF of 61072 and 61089?

We will first find the prime factorization of 61072 and 61089. After we will calculate the factors of 61072 and 61089 and find the biggest common factor number .

Step-1: Prime Factorization of 61072

Prime factors of 61072 are 2, 11, 347. Prime factorization of 61072 in exponential form is:

61072 = 2⁴ × 11¹ × 347¹

Step-2: 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-3: Factors of 61072

List of positive integer factors of 61072 that divides 61072 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 347, 694, 1388, 2776, 3817, 5552, 7634, 15268, 30536

Step-4: Factors of 61089

List of positive integer factors of 61089 that divides 61072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61072 and 61089. The biggest common factor number is the GCF number.
So the greatest common factor 61072 and 61089 is 1.

Also check out the Least Common Multiple of 61072 and 61089