What is the Greatest Common Factor of 4007 and 4014?

Greatest common factor (GCF) of 4007 and 4014 is 1.

GCF(4007,4014) = 1

We will now calculate the prime factors of 4007 and 4014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4007 and 4014.

How to find the GCF of 4007 and 4014?

We will first find the prime factorization of 4007 and 4014. After we will calculate the factors of 4007 and 4014 and find the biggest common factor number .

Step-1: Prime Factorization of 4007

Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:

4007 = 4007¹

Step-2: 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-3: Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

Step-4: Factors of 4014

List of positive integer factors of 4014 that divides 4007 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4007 and 4014. The biggest common factor number is the GCF number.
So the greatest common factor 4007 and 4014 is 1.

Also check out the Least Common Multiple of 4007 and 4014