What is the Greatest Common Factor of 47249 and 47254?

Greatest common factor (GCF) of 47249 and 47254 is 1.

GCF(47249,47254) = 1

We will now calculate the prime factors of 47249 and 47254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47249 and 47254.

How to find the GCF of 47249 and 47254?

We will first find the prime factorization of 47249 and 47254. After we will calculate the factors of 47249 and 47254 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 47254

Prime factors of 47254 are 2, 23627. Prime factorization of 47254 in exponential form is:

47254 = 2¹ × 23627¹

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 47254

List of positive integer factors of 47254 that divides 47249 without a remainder.

1, 2, 23627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47249 and 47254. The biggest common factor number is the GCF number.
So the greatest common factor 47249 and 47254 is 1.

Also check out the Least Common Multiple of 47249 and 47254