Greatest Common Factor of 7073 and 7077

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 7073, 7077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7073 and 7077 is 1.

GCF(7073,7077) = 1

GCF of 7073 and 7077

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

GCF of:
and

Greatest Common Factor of 7073 and 7077

GCF of 7073 and 7077 is 1

Prime Factorization of 7073


11 7073
643 643
1

Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:

7073 = 111×6431

Prime Factorization of 7077


3 7077
7 2359
337 337
1

Prime factors of 7077 are 3,7,337. Prime factorization of 7077 in exponential form is:

7077 = 31×71×3371

∴ So by taking common prime factors GCF of 7073 and 7077 is 1

Greatest Common Factor of 7073 and 7077 by matching factors method

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1,11,643,7073

Factors of 7077

List of positive integer factors of 7077 that divides 7077 without a remainder.

1,3,7,21,337,1011,2359,7077

Greatest Common Factor

We found the factors and prime factorization of 7073 and 7077. The biggest common factor number is the GCF number.
So the greatest common factor 7073 and 7077 is 1.

Also check out the Least Common Multiple of 7073 and 7077

Properties of GCF 7073 and 7077

(i) The GCF of 7073 and 7077 is associative

GCF of 7073 and 7077 = GCF of 7077 and 7073

Frequently Asked Questions on GCF of 7073 and 7077

1. What is the GCF of 7073 and 7077?

Answer: GCF of 7073 and 7077 is 1.

2. What are the Factors of 7073?

Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.

3. What are the Factors of 7077?

Answer: Factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077. There are 8 integers that are factors of 7077. The greatest factor of 7077 is 7077.

4. How to Find the GCF of 7073 and 7077?

Answer:

Greatest Common Factor of 7073 and 7077 = 1

Step 1: Find the prime factorization of 7073

7073 = 11 x 643

Step 2: Find the prime factorization of 7077

7077 = 3 x 7 x 337

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 7073 and 7077 is 1