What is the Greatest Common Factor of 31229 and 31249?

Greatest common factor (GCF) of 31229 and 31249 is 1.

GCF(31229,31249) = 1

We will now calculate the prime factors of 31229 and 31249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31229 and 31249.

How to find the GCF of 31229 and 31249?

We will first find the prime factorization of 31229 and 31249. After we will calculate the factors of 31229 and 31249 and find the biggest common factor number .

Step-1: Prime Factorization of 31229

Prime factors of 31229 are 11, 17, 167. Prime factorization of 31229 in exponential form is:

31229 = 11¹ × 17¹ × 167¹

Step-2: Prime Factorization of 31249

Prime factors of 31249 are 31249. Prime factorization of 31249 in exponential form is:

31249 = 31249¹

Step-3: Factors of 31229

List of positive integer factors of 31229 that divides 31229 without a remainder.

1, 11, 17, 167, 187, 1837, 2839

Step-4: Factors of 31249

List of positive integer factors of 31249 that divides 31229 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31229 and 31249. The biggest common factor number is the GCF number.
So the greatest common factor 31229 and 31249 is 1.

Also check out the Least Common Multiple of 31229 and 31249