What is the Greatest Common Factor of 31239 and 31254?

Greatest common factor (GCF) of 31239 and 31254 is 3.

GCF(31239,31254) = 3

We will now calculate the prime factors of 31239 and 31254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31239 and 31254.

How to find the GCF of 31239 and 31254?

We will first find the prime factorization of 31239 and 31254. After we will calculate the factors of 31239 and 31254 and find the biggest common factor number .

Step-1: Prime Factorization of 31239

Prime factors of 31239 are 3, 13, 89. Prime factorization of 31239 in exponential form is:

31239 = 3³ × 13¹ × 89¹

Step-2: Prime Factorization of 31254

Prime factors of 31254 are 2, 3, 5209. Prime factorization of 31254 in exponential form is:

31254 = 2¹ × 3¹ × 5209¹

Step-3: Factors of 31239

List of positive integer factors of 31239 that divides 31239 without a remainder.

1, 3, 9, 13, 27, 39, 89, 117, 267, 351, 801, 1157, 2403, 3471, 10413

Step-4: Factors of 31254

List of positive integer factors of 31254 that divides 31239 without a remainder.

1, 2, 3, 6, 5209, 10418, 15627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31239 and 31254. The biggest common factor number is the GCF number.
So the greatest common factor 31239 and 31254 is 3.

Also check out the Least Common Multiple of 31239 and 31254