What is the Greatest Common Factor of 61830 and 61844?

Greatest common factor (GCF) of 61830 and 61844 is 2.

GCF(61830,61844) = 2

We will now calculate the prime factors of 61830 and 61844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61830 and 61844.

How to find the GCF of 61830 and 61844?

We will first find the prime factorization of 61830 and 61844. After we will calculate the factors of 61830 and 61844 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 61844

Prime factors of 61844 are 2, 15461. Prime factorization of 61844 in exponential form is:

61844 = 2² × 15461¹

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 61844

List of positive integer factors of 61844 that divides 61830 without a remainder.

1, 2, 4, 15461, 30922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61830 and 61844. The biggest common factor number is the GCF number.
So the greatest common factor 61830 and 61844 is 2.

Also check out the Least Common Multiple of 61830 and 61844