What is the Greatest Common Factor of 13014 and 13031?

Greatest common factor (GCF) of 13014 and 13031 is 1.

GCF(13014,13031) = 1

We will now calculate the prime factors of 13014 and 13031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13014 and 13031.

How to find the GCF of 13014 and 13031?

We will first find the prime factorization of 13014 and 13031. After we will calculate the factors of 13014 and 13031 and find the biggest common factor number .

Step-1: Prime Factorization of 13014

Prime factors of 13014 are 2, 3, 241. Prime factorization of 13014 in exponential form is:

13014 = 2¹ × 3³ × 241¹

Step-2: Prime Factorization of 13031

Prime factors of 13031 are 83, 157. Prime factorization of 13031 in exponential form is:

13031 = 83¹ × 157¹

Step-3: Factors of 13014

List of positive integer factors of 13014 that divides 13014 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507

Step-4: Factors of 13031

List of positive integer factors of 13031 that divides 13014 without a remainder.

1, 83, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13014 and 13031. The biggest common factor number is the GCF number.
So the greatest common factor 13014 and 13031 is 1.

Also check out the Least Common Multiple of 13014 and 13031