What is the Greatest Common Factor of 31254 and 31258?

Greatest common factor (GCF) of 31254 and 31258 is 2.

GCF(31254,31258) = 2

We will now calculate the prime factors of 31254 and 31258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31254 and 31258.

How to find the GCF of 31254 and 31258?

We will first find the prime factorization of 31254 and 31258. After we will calculate the factors of 31254 and 31258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31258

Prime factors of 31258 are 2, 15629. Prime factorization of 31258 in exponential form is:

31258 = 2¹ × 15629¹

Step-3: Factors of 31254

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

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

Step-4: Factors of 31258

List of positive integer factors of 31258 that divides 31254 without a remainder.

1, 2, 15629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31254 and 31258. The biggest common factor number is the GCF number.
So the greatest common factor 31254 and 31258 is 2.

Also check out the Least Common Multiple of 31254 and 31258