What is the Greatest Common Factor of 61825 and 61830?

Greatest common factor (GCF) of 61825 and 61830 is 5.

GCF(61825,61830) = 5

We will now calculate the prime factors of 61825 and 61830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61825 and 61830.

How to find the GCF of 61825 and 61830?

We will first find the prime factorization of 61825 and 61830. After we will calculate the factors of 61825 and 61830 and find the biggest common factor number .

Step-1: Prime Factorization of 61825

Prime factors of 61825 are 5, 2473. Prime factorization of 61825 in exponential form is:

61825 = 5² × 2473¹

Step-2: 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-3: Factors of 61825

List of positive integer factors of 61825 that divides 61825 without a remainder.

1, 5, 25, 2473, 12365

Step-4: Factors of 61830

List of positive integer factors of 61830 that divides 61825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61825 and 61830. The biggest common factor number is the GCF number.
So the greatest common factor 61825 and 61830 is 5.

Also check out the Least Common Multiple of 61825 and 61830