What is the Greatest Common Factor of 7014 and 7028?

Greatest common factor (GCF) of 7014 and 7028 is 14.

GCF(7014,7028) = 14

We will now calculate the prime factors of 7014 and 7028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7014 and 7028.

How to find the GCF of 7014 and 7028?

We will first find the prime factorization of 7014 and 7028. After we will calculate the factors of 7014 and 7028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7028

Prime factors of 7028 are 2, 7, 251. Prime factorization of 7028 in exponential form is:

7028 = 2² × 7¹ × 251¹

Step-3: Factors of 7014

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

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

Step-4: Factors of 7028

List of positive integer factors of 7028 that divides 7014 without a remainder.

1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7014 and 7028. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7028 is 14.

Also check out the Least Common Multiple of 7014 and 7028