What is the Greatest Common Factor of 47800 and 47810?

Greatest common factor (GCF) of 47800 and 47810 is 10.

GCF(47800,47810) = 10

We will now calculate the prime factors of 47800 and 47810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47800 and 47810.

How to find the GCF of 47800 and 47810?

We will first find the prime factorization of 47800 and 47810. After we will calculate the factors of 47800 and 47810 and find the biggest common factor number .

Step-1: Prime Factorization of 47800

Prime factors of 47800 are 2, 5, 239. Prime factorization of 47800 in exponential form is:

47800 = 2³ × 5² × 239¹

Step-2: Prime Factorization of 47810

Prime factors of 47810 are 2, 5, 7, 683. Prime factorization of 47810 in exponential form is:

47810 = 2¹ × 5¹ × 7¹ × 683¹

Step-3: Factors of 47800

List of positive integer factors of 47800 that divides 47800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 239, 478, 956, 1195, 1912, 2390, 4780, 5975, 9560, 11950, 23900

Step-4: Factors of 47810

List of positive integer factors of 47810 that divides 47800 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 683, 1366, 3415, 4781, 6830, 9562, 23905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47800 and 47810. The biggest common factor number is the GCF number.
So the greatest common factor 47800 and 47810 is 10.

Also check out the Least Common Multiple of 47800 and 47810