What is the Greatest Common Factor of 7018 and 7029?

Greatest common factor (GCF) of 7018 and 7029 is 11.

GCF(7018,7029) = 11

We will now calculate the prime factors of 7018 and 7029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7018 and 7029.

How to find the GCF of 7018 and 7029?

We will first find the prime factorization of 7018 and 7029. After we will calculate the factors of 7018 and 7029 and find the biggest common factor number .

Step-1: Prime Factorization of 7018

Prime factors of 7018 are 2, 11, 29. Prime factorization of 7018 in exponential form is:

7018 = 2¹ × 11² × 29¹

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 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509

Step-4: Factors of 7029

List of positive integer factors of 7029 that divides 7018 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 7018 and 7029. The biggest common factor number is the GCF number.
So the greatest common factor 7018 and 7029 is 11.

Also check out the Least Common Multiple of 7018 and 7029