What is the Greatest Common Factor of 47249 and 47263?

Greatest common factor (GCF) of 47249 and 47263 is 1.

GCF(47249,47263) = 1

We will now calculate the prime factors of 47249 and 47263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47249 and 47263.

How to find the GCF of 47249 and 47263?

We will first find the prime factorization of 47249 and 47263. After we will calculate the factors of 47249 and 47263 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 47263

Prime factors of 47263 are 151, 313. Prime factorization of 47263 in exponential form is:

47263 = 151¹ × 313¹

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 47263

List of positive integer factors of 47263 that divides 47249 without a remainder.

1, 151, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47249 and 47263. The biggest common factor number is the GCF number.
So the greatest common factor 47249 and 47263 is 1.

Also check out the Least Common Multiple of 47249 and 47263