Greatest Common Factor of 7123 and 7129

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 7123, 7129 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7123 and 7129 is 1.

GCF(7123,7129) = 1

GCF of 7123 and 7129

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

GCF of:
and

Greatest Common Factor of 7123 and 7129

GCF of 7123 and 7129 is 1

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

Prime Factorization of 7129


7129 7129
1

Prime factors of 7129 are 7129. Prime factorization of 7129 in exponential form is:

7129 = 71291

∴ So by taking common prime factors GCF of 7123 and 7129 is 1

Greatest Common Factor of 7123 and 7129 by matching factors method

Factors of 7123

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

1,17,419,7123

Factors of 7129

List of positive integer factors of 7129 that divides 7129 without a remainder.

1,7129

Greatest Common Factor

We found the factors and prime factorization of 7123 and 7129. The biggest common factor number is the GCF number.
So the greatest common factor 7123 and 7129 is 1.

Also check out the Least Common Multiple of 7123 and 7129

Properties of GCF 7123 and 7129

(i) The GCF of 7123 and 7129 is associative

GCF of 7123 and 7129 = GCF of 7129 and 7123

Related Greatest Common Factor of 7123

Related Greatest Common Factor of 7129

Frequently Asked Questions on GCF of 7123 and 7129

1. What is the GCF of 7123 and 7129?

Answer: GCF of 7123 and 7129 is 1.

2. 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.

3. What are the Factors of 7129?

Answer: Factors of 7129 are 1, 7129. There are 2 integers that are factors of 7129. The greatest factor of 7129 is 7129.

4. How to Find the GCF of 7123 and 7129?

Answer:

Greatest Common Factor of 7123 and 7129 = 1

Step 1: Find the prime factorization of 7123

7123 = 17 x 419

Step 2: Find the prime factorization of 7129

7129 = 7129

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 7123 and 7129 is 1