What is the Greatest Common Factor of 47200 and 47209?

Greatest common factor (GCF) of 47200 and 47209 is 1.

GCF(47200,47209) = 1

We will now calculate the prime factors of 47200 and 47209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47200 and 47209.

How to find the GCF of 47200 and 47209?

We will first find the prime factorization of 47200 and 47209. After we will calculate the factors of 47200 and 47209 and find the biggest common factor number .

Step-1: Prime Factorization of 47200

Prime factors of 47200 are 2, 5, 59. Prime factorization of 47200 in exponential form is:

47200 = 2⁵ × 5² × 59¹

Step-2: Prime Factorization of 47209

Prime factors of 47209 are 17, 2777. Prime factorization of 47209 in exponential form is:

47209 = 17¹ × 2777¹

Step-3: Factors of 47200

List of positive integer factors of 47200 that divides 47200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 80, 100, 118, 160, 200, 236, 295, 400, 472, 590, 800, 944, 1180, 1475, 1888, 2360, 2950, 4720, 5900, 9440, 11800, 23600

Step-4: Factors of 47209

List of positive integer factors of 47209 that divides 47200 without a remainder.

1, 17, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47200 and 47209. The biggest common factor number is the GCF number.
So the greatest common factor 47200 and 47209 is 1.

Also check out the Least Common Multiple of 47200 and 47209