What is the Greatest Common Factor of 47897 and 47909?

Greatest common factor (GCF) of 47897 and 47909 is 1.

GCF(47897,47909) = 1

We will now calculate the prime factors of 47897 and 47909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47897 and 47909.

How to find the GCF of 47897 and 47909?

We will first find the prime factorization of 47897 and 47909. After we will calculate the factors of 47897 and 47909 and find the biggest common factor number .

Step-1: Prime Factorization of 47897

Prime factors of 47897 are 211, 227. Prime factorization of 47897 in exponential form is:

47897 = 211¹ × 227¹

Step-2: Prime Factorization of 47909

Prime factors of 47909 are 23, 2083. Prime factorization of 47909 in exponential form is:

47909 = 23¹ × 2083¹

Step-3: Factors of 47897

List of positive integer factors of 47897 that divides 47897 without a remainder.

1, 211, 227

Step-4: Factors of 47909

List of positive integer factors of 47909 that divides 47897 without a remainder.

1, 23, 2083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47897 and 47909. The biggest common factor number is the GCF number.
So the greatest common factor 47897 and 47909 is 1.

Also check out the Least Common Multiple of 47897 and 47909