What is the Greatest Common Factor of 7007 and 7014?

Greatest common factor (GCF) of 7007 and 7014 is 7.

GCF(7007,7014) = 7

We will now calculate the prime factors of 7007 and 7014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7007 and 7014.

How to find the GCF of 7007 and 7014?

We will first find the prime factorization of 7007 and 7014. After we will calculate the factors of 7007 and 7014 and find the biggest common factor number .

Step-1: Prime Factorization of 7007

Prime factors of 7007 are 7, 11, 13. Prime factorization of 7007 in exponential form is:

7007 = 7² × 11¹ × 13¹

Step-2: Prime Factorization of 7014

Prime factors of 7014 are 2, 3, 7, 167. Prime factorization of 7014 in exponential form is:

7014 = 2¹ × 3¹ × 7¹ × 167¹

Step-3: Factors of 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001

Step-4: Factors of 7014

List of positive integer factors of 7014 that divides 7007 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7007 and 7014. The biggest common factor number is the GCF number.
So the greatest common factor 7007 and 7014 is 7.

Also check out the Least Common Multiple of 7007 and 7014