What is the Greatest Common Factor of 47229 and 47249?

Greatest common factor (GCF) of 47229 and 47249 is 1.

GCF(47229,47249) = 1

We will now calculate the prime factors of 47229 and 47249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47229 and 47249.

How to find the GCF of 47229 and 47249?

We will first find the prime factorization of 47229 and 47249. After we will calculate the factors of 47229 and 47249 and find the biggest common factor number .

Step-1: Prime Factorization of 47229

Prime factors of 47229 are 3, 7, 13, 173. Prime factorization of 47229 in exponential form is:

47229 = 3¹ × 7¹ × 13¹ × 173¹

Step-2: Prime Factorization of 47249

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

47249 = 37¹ × 1277¹

Step-3: Factors of 47229

List of positive integer factors of 47229 that divides 47229 without a remainder.

1, 3, 7, 13, 21, 39, 91, 173, 273, 519, 1211, 2249, 3633, 6747, 15743

Step-4: Factors of 47249

List of positive integer factors of 47249 that divides 47229 without a remainder.

1, 37, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47229 and 47249. The biggest common factor number is the GCF number.
So the greatest common factor 47229 and 47249 is 1.

Also check out the Least Common Multiple of 47229 and 47249