What is the Greatest Common Factor of 7014 and 7024?

Greatest common factor (GCF) of 7014 and 7024 is 2.

GCF(7014,7024) = 2

We will now calculate the prime factors of 7014 and 7024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7014 and 7024.

How to find the GCF of 7014 and 7024?

We will first find the prime factorization of 7014 and 7024. After we will calculate the factors of 7014 and 7024 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 7024

Prime factors of 7024 are 2, 439. Prime factorization of 7024 in exponential form is:

7024 = 2⁴ × 439¹

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 7024

List of positive integer factors of 7024 that divides 7014 without a remainder.

1, 2, 4, 8, 16, 439, 878, 1756, 3512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7014 and 7024. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7024 is 2.

Also check out the Least Common Multiple of 7014 and 7024