What is the Greatest Common Factor of 47800 and 47807?

Greatest common factor (GCF) of 47800 and 47807 is 1.

GCF(47800,47807) = 1

We will now calculate the prime factors of 47800 and 47807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47800 and 47807.

How to find the GCF of 47800 and 47807?

We will first find the prime factorization of 47800 and 47807. After we will calculate the factors of 47800 and 47807 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 47807

Prime factors of 47807 are 47807. Prime factorization of 47807 in exponential form is:

47807 = 47807¹

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 47807

List of positive integer factors of 47807 that divides 47800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47800 and 47807. The biggest common factor number is the GCF number.
So the greatest common factor 47800 and 47807 is 1.

Also check out the Least Common Multiple of 47800 and 47807