What is the Greatest Common Factor of 47249 and 47255?

Greatest common factor (GCF) of 47249 and 47255 is 1.

GCF(47249,47255) = 1

We will now calculate the prime factors of 47249 and 47255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47249 and 47255.

How to find the GCF of 47249 and 47255?

We will first find the prime factorization of 47249 and 47255. After we will calculate the factors of 47249 and 47255 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 47255

Prime factors of 47255 are 5, 13, 727. Prime factorization of 47255 in exponential form is:

47255 = 5¹ × 13¹ × 727¹

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 47255

List of positive integer factors of 47255 that divides 47249 without a remainder.

1, 5, 13, 65, 727, 3635, 9451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47249 and 47255. The biggest common factor number is the GCF number.
So the greatest common factor 47249 and 47255 is 1.

Also check out the Least Common Multiple of 47249 and 47255