Greatest Common Factor of 7117 and 7123

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 7117, 7123 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7117 and 7123 is 1.

GCF(7117,7123) = 1

GCF of 7117 and 7123

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

GCF of:
and

Greatest Common Factor of 7117 and 7123

GCF of 7117 and 7123 is 1

Prime Factorization of 7117


11 7117
647 647
1

Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:

7117 = 111×6471

Prime Factorization of 7123


17 7123
419 419
1

Prime factors of 7123 are 17,419. Prime factorization of 7123 in exponential form is:

7123 = 171×4191

∴ So by taking common prime factors GCF of 7117 and 7123 is 1

Greatest Common Factor of 7117 and 7123 by matching factors method

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1,11,647,7117

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1,17,419,7123

Greatest Common Factor

We found the factors and prime factorization of 7117 and 7123. The biggest common factor number is the GCF number.
So the greatest common factor 7117 and 7123 is 1.

Also check out the Least Common Multiple of 7117 and 7123

Properties of GCF 7117 and 7123

(i) The GCF of 7117 and 7123 is associative

GCF of 7117 and 7123 = GCF of 7123 and 7117

Related Greatest Common Factor of 7117

Related Greatest Common Factor of 7123

Frequently Asked Questions on GCF of 7117 and 7123

1. What is the GCF of 7117 and 7123?

Answer: GCF of 7117 and 7123 is 1.

2. What are the Factors of 7117?

Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.

3. What are the Factors of 7123?

Answer: Factors of 7123 are 1, 17, 419, 7123. There are 4 integers that are factors of 7123. The greatest factor of 7123 is 7123.

4. How to Find the GCF of 7117 and 7123?

Answer:

Greatest Common Factor of 7117 and 7123 = 1

Step 1: Find the prime factorization of 7117

7117 = 11 x 647

Step 2: Find the prime factorization of 7123

7123 = 17 x 419

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 7117 and 7123 is 1