What is the Greatest Common Factor of 47800 and 47820?

Greatest common factor (GCF) of 47800 and 47820 is 20.

GCF(47800,47820) = 20

We will now calculate the prime factors of 47800 and 47820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47800 and 47820.

How to find the GCF of 47800 and 47820?

We will first find the prime factorization of 47800 and 47820. After we will calculate the factors of 47800 and 47820 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 47820

Prime factors of 47820 are 2, 3, 5, 797. Prime factorization of 47820 in exponential form is:

47820 = 2² × 3¹ × 5¹ × 797¹

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 47820

List of positive integer factors of 47820 that divides 47800 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 797, 1594, 2391, 3188, 3985, 4782, 7970, 9564, 11955, 15940, 23910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47800 and 47820. The biggest common factor number is the GCF number.
So the greatest common factor 47800 and 47820 is 20.

Also check out the Least Common Multiple of 47800 and 47820