What is the Greatest Common Factor of 61830 and 61845?

Greatest common factor (GCF) of 61830 and 61845 is 15.

GCF(61830,61845) = 15

We will now calculate the prime factors of 61830 and 61845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61830 and 61845.

How to find the GCF of 61830 and 61845?

We will first find the prime factorization of 61830 and 61845. After we will calculate the factors of 61830 and 61845 and find the biggest common factor number .

Step-1: Prime Factorization of 61830

Prime factors of 61830 are 2, 3, 5, 229. Prime factorization of 61830 in exponential form is:

61830 = 2¹ × 3³ × 5¹ × 229¹

Step-2: Prime Factorization of 61845

Prime factors of 61845 are 3, 5, 7, 19, 31. Prime factorization of 61845 in exponential form is:

61845 = 3¹ × 5¹ × 7¹ × 19¹ × 31¹

Step-3: Factors of 61830

List of positive integer factors of 61830 that divides 61830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 229, 270, 458, 687, 1145, 1374, 2061, 2290, 3435, 4122, 6183, 6870, 10305, 12366, 20610, 30915

Step-4: Factors of 61845

List of positive integer factors of 61845 that divides 61830 without a remainder.

1, 3, 5, 7, 15, 19, 21, 31, 35, 57, 93, 95, 105, 133, 155, 217, 285, 399, 465, 589, 651, 665, 1085, 1767, 1995, 2945, 3255, 4123, 8835, 12369, 20615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61830 and 61845. The biggest common factor number is the GCF number.
So the greatest common factor 61830 and 61845 is 15.

Also check out the Least Common Multiple of 61830 and 61845