What is the Greatest Common Factor of 7014 and 7029?

Greatest common factor (GCF) of 7014 and 7029 is 3.

GCF(7014,7029) = 3

We will now calculate the prime factors of 7014 and 7029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7014 and 7029.

How to find the GCF of 7014 and 7029?

We will first find the prime factorization of 7014 and 7029. After we will calculate the factors of 7014 and 7029 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 7029

Prime factors of 7029 are 3, 11, 71. Prime factorization of 7029 in exponential form is:

7029 = 3² × 11¹ × 71¹

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 7029

List of positive integer factors of 7029 that divides 7014 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7014 and 7029. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7029 is 3.

Also check out the Least Common Multiple of 7014 and 7029