What is the Greatest Common Factor of 4014 and 4031?

Greatest common factor (GCF) of 4014 and 4031 is 1.

GCF(4014,4031) = 1

We will now calculate the prime factors of 4014 and 4031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4014 and 4031.

How to find the GCF of 4014 and 4031?

We will first find the prime factorization of 4014 and 4031. After we will calculate the factors of 4014 and 4031 and find the biggest common factor number .

Step-1: Prime Factorization of 4014

Prime factors of 4014 are 2, 3, 223. Prime factorization of 4014 in exponential form is:

4014 = 2¹ × 3² × 223¹

Step-2: Prime Factorization of 4031

Prime factors of 4031 are 29, 139. Prime factorization of 4031 in exponential form is:

4031 = 29¹ × 139¹

Step-3: Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007

Step-4: Factors of 4031

List of positive integer factors of 4031 that divides 4014 without a remainder.

1, 29, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4014 and 4031. The biggest common factor number is the GCF number.
So the greatest common factor 4014 and 4031 is 1.

Also check out the Least Common Multiple of 4014 and 4031