What is the Greatest Common Factor of 61074 and 61089?

Greatest common factor (GCF) of 61074 and 61089 is 3.

GCF(61074,61089) = 3

We will now calculate the prime factors of 61074 and 61089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61074 and 61089.

How to find the GCF of 61074 and 61089?

We will first find the prime factorization of 61074 and 61089. After we will calculate the factors of 61074 and 61089 and find the biggest common factor number .

Step-1: Prime Factorization of 61074

Prime factors of 61074 are 2, 3, 13, 29. Prime factorization of 61074 in exponential form is:

61074 = 2¹ × 3⁴ × 13¹ × 29¹

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 61074

List of positive integer factors of 61074 that divides 61074 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 81, 87, 117, 162, 174, 234, 261, 351, 377, 522, 702, 754, 783, 1053, 1131, 1566, 2106, 2262, 2349, 3393, 4698, 6786, 10179, 20358, 30537

Step-4: Factors of 61089

List of positive integer factors of 61089 that divides 61074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61074 and 61089. The biggest common factor number is the GCF number.
So the greatest common factor 61074 and 61089 is 3.

Also check out the Least Common Multiple of 61074 and 61089