What is the Greatest Common Factor of 47795 and 47800?

Greatest common factor (GCF) of 47795 and 47800 is 5.

GCF(47795,47800) = 5

We will now calculate the prime factors of 47795 and 47800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47795 and 47800.

How to find the GCF of 47795 and 47800?

We will first find the prime factorization of 47795 and 47800. After we will calculate the factors of 47795 and 47800 and find the biggest common factor number .

Step-1: Prime Factorization of 47795

Prime factors of 47795 are 5, 11, 79. Prime factorization of 47795 in exponential form is:

47795 = 5¹ × 11² × 79¹

Step-2: 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-3: Factors of 47795

List of positive integer factors of 47795 that divides 47795 without a remainder.

1, 5, 11, 55, 79, 121, 395, 605, 869, 4345, 9559

Step-4: Factors of 47800

List of positive integer factors of 47800 that divides 47795 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47795 and 47800. The biggest common factor number is the GCF number.
So the greatest common factor 47795 and 47800 is 5.

Also check out the Least Common Multiple of 47795 and 47800