What is the Greatest Common Factor of 47830 and 47850?

Greatest common factor (GCF) of 47830 and 47850 is 10.

GCF(47830,47850) = 10

We will now calculate the prime factors of 47830 and 47850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47830 and 47850.

How to find the GCF of 47830 and 47850?

We will first find the prime factorization of 47830 and 47850. After we will calculate the factors of 47830 and 47850 and find the biggest common factor number .

Step-1: Prime Factorization of 47830

Prime factors of 47830 are 2, 5, 4783. Prime factorization of 47830 in exponential form is:

47830 = 2¹ × 5¹ × 4783¹

Step-2: Prime Factorization of 47850

Prime factors of 47850 are 2, 3, 5, 11, 29. Prime factorization of 47850 in exponential form is:

47850 = 2¹ × 3¹ × 5² × 11¹ × 29¹

Step-3: Factors of 47830

List of positive integer factors of 47830 that divides 47830 without a remainder.

1, 2, 5, 10, 4783, 9566, 23915

Step-4: Factors of 47850

List of positive integer factors of 47850 that divides 47830 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 29, 30, 33, 50, 55, 58, 66, 75, 87, 110, 145, 150, 165, 174, 275, 290, 319, 330, 435, 550, 638, 725, 825, 870, 957, 1450, 1595, 1650, 1914, 2175, 3190, 4350, 4785, 7975, 9570, 15950, 23925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47830 and 47850. The biggest common factor number is the GCF number.
So the greatest common factor 47830 and 47850 is 10.

Also check out the Least Common Multiple of 47830 and 47850