What is the Greatest Common Factor of 61830 and 61850?

Greatest common factor (GCF) of 61830 and 61850 is 10.

GCF(61830,61850) = 10

We will now calculate the prime factors of 61830 and 61850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61830 and 61850.

How to find the GCF of 61830 and 61850?

We will first find the prime factorization of 61830 and 61850. After we will calculate the factors of 61830 and 61850 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 61850

Prime factors of 61850 are 2, 5, 1237. Prime factorization of 61850 in exponential form is:

61850 = 2¹ × 5² × 1237¹

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 61850

List of positive integer factors of 61850 that divides 61830 without a remainder.

1, 2, 5, 10, 25, 50, 1237, 2474, 6185, 12370, 30925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61830 and 61850. The biggest common factor number is the GCF number.
So the greatest common factor 61830 and 61850 is 10.

Also check out the Least Common Multiple of 61830 and 61850