Greatest Common Factor of 7021 and 7027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7021, 7027 i.e. 1 largest integer by which both the numbers can be divided.

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

GCF(7021,7027) = 1

GCF of 7021 and 7027

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7021 and 7027

GCF of 7021 and 7027 is 1

Prime Factorization of 7021


7 7021
17 1003
59 59
1

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

7021 = 71×171×591

Prime Factorization of 7027


7027 7027
1

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

7027 = 70271

∴ So by taking common prime factors GCF of 7021 and 7027 is 1

Greatest Common Factor of 7021 and 7027 by matching factors method

Factors of 7021

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

1,7,17,59,119,413,1003,7021

Factors of 7027

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

1,7027

Greatest Common Factor

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

Properties of GCF 7021 and 7027

(i) The GCF of 7021 and 7027 is associative

GCF of 7021 and 7027 = GCF of 7027 and 7021

Related Greatest Common Factor of 7021

Related Greatest Common Factor of 7027

Frequently Asked Questions on GCF of 7021 and 7027

1. What is the GCF of 7021 and 7027?

Answer: GCF of 7021 and 7027 is 1.

2. What are the Factors of 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

3. What are the Factors of 7027?

Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.

4. How to Find the GCF of 7021 and 7027?

Answer:

Greatest Common Factor of 7021 and 7027 = 1

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

Step 2: Find the prime factorization of 7027

7027 = 7027

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 7021 and 7027 is 1