What is the Greatest Common Factor of 61389 and 61405?

Greatest common factor (GCF) of 61389 and 61405 is 1.

GCF(61389,61405) = 1

We will now calculate the prime factors of 61389 and 61405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61389 and 61405.

How to find the GCF of 61389 and 61405?

We will first find the prime factorization of 61389 and 61405. After we will calculate the factors of 61389 and 61405 and find the biggest common factor number .

Step-1: Prime Factorization of 61389

Prime factors of 61389 are 3, 19, 359. Prime factorization of 61389 in exponential form is:

61389 = 3² × 19¹ × 359¹

Step-2: Prime Factorization of 61405

Prime factors of 61405 are 5, 12281. Prime factorization of 61405 in exponential form is:

61405 = 5¹ × 12281¹

Step-3: Factors of 61389

List of positive integer factors of 61389 that divides 61389 without a remainder.

1, 3, 9, 19, 57, 171, 359, 1077, 3231, 6821, 20463

Step-4: Factors of 61405

List of positive integer factors of 61405 that divides 61389 without a remainder.

1, 5, 12281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61389 and 61405. The biggest common factor number is the GCF number.
So the greatest common factor 61389 and 61405 is 1.

Also check out the Least Common Multiple of 61389 and 61405