What is the Greatest Common Factor of 47204 and 47209?

Greatest common factor (GCF) of 47204 and 47209 is 1.

GCF(47204,47209) = 1

We will now calculate the prime factors of 47204 and 47209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47204 and 47209.

How to find the GCF of 47204 and 47209?

We will first find the prime factorization of 47204 and 47209. After we will calculate the factors of 47204 and 47209 and find the biggest common factor number .

Step-1: Prime Factorization of 47204

Prime factors of 47204 are 2, 11801. Prime factorization of 47204 in exponential form is:

47204 = 2² × 11801¹

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 47204

List of positive integer factors of 47204 that divides 47204 without a remainder.

1, 2, 4, 11801, 23602

Step-4: Factors of 47209

List of positive integer factors of 47209 that divides 47204 without a remainder.

1, 17, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47204 and 47209. The biggest common factor number is the GCF number.
So the greatest common factor 47204 and 47209 is 1.

Also check out the Least Common Multiple of 47204 and 47209