What is the Greatest Common Factor of 47785 and 47800?

Greatest common factor (GCF) of 47785 and 47800 is 5.

GCF(47785,47800) = 5

We will now calculate the prime factors of 47785 and 47800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47785 and 47800.

How to find the GCF of 47785 and 47800?

We will first find the prime factorization of 47785 and 47800. After we will calculate the factors of 47785 and 47800 and find the biggest common factor number .

Step-1: Prime Factorization of 47785

Prime factors of 47785 are 5, 19, 503. Prime factorization of 47785 in exponential form is:

47785 = 5¹ × 19¹ × 503¹

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 47785

List of positive integer factors of 47785 that divides 47785 without a remainder.

1, 5, 19, 95, 503, 2515, 9557

Step-4: Factors of 47800

List of positive integer factors of 47800 that divides 47785 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 47785 and 47800. The biggest common factor number is the GCF number.
So the greatest common factor 47785 and 47800 is 5.

Also check out the Least Common Multiple of 47785 and 47800