What is the Greatest Common Factor of 7021 and 7027?

Greatest common factor (GCF) of 7021 and 7027 is 1.

GCF(7021,7027) = 1

We will now calculate the prime factors of 7021 and 7027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7021 and 7027.

How to find the GCF of 7021 and 7027?

We will first find the prime factorization of 7021 and 7027. After we will calculate the factors of 7021 and 7027 and find the biggest common factor number .

Step-1: Prime Factorization of 7021

Prime factors of 7021 are 7, 17, 59. Prime factorization of 7021 in exponential form is:

7021 = 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 7027

Prime factors of 7027 are 7027. Prime factorization of 7027 in exponential form is:

7027 = 7027¹

Step-3: Factors of 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1, 7, 17, 59, 119, 413, 1003

Step-4: Factors of 7027

List of positive integer factors of 7027 that divides 7021 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7021 and 7027. The biggest common factor number is the GCF number.
So the greatest common factor 7021 and 7027 is 1.

Also check out the Least Common Multiple of 7021 and 7027