What is the Greatest Common Factor of 47249 and 47257?

Greatest common factor (GCF) of 47249 and 47257 is 1.

GCF(47249,47257) = 1

We will now calculate the prime factors of 47249 and 47257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47249 and 47257.

How to find the GCF of 47249 and 47257?

We will first find the prime factorization of 47249 and 47257. After we will calculate the factors of 47249 and 47257 and find the biggest common factor number .

Step-1: Prime Factorization of 47249

Prime factors of 47249 are 37, 1277. Prime factorization of 47249 in exponential form is:

47249 = 37¹ × 1277¹

Step-2: Prime Factorization of 47257

Prime factors of 47257 are 7, 43, 157. Prime factorization of 47257 in exponential form is:

47257 = 7¹ × 43¹ × 157¹

Step-3: Factors of 47249

List of positive integer factors of 47249 that divides 47249 without a remainder.

1, 37, 1277

Step-4: Factors of 47257

List of positive integer factors of 47257 that divides 47249 without a remainder.

1, 7, 43, 157, 301, 1099, 6751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47249 and 47257. The biggest common factor number is the GCF number.
So the greatest common factor 47249 and 47257 is 1.

Also check out the Least Common Multiple of 47249 and 47257