Greatest Common Factor of 4123 and 4131

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 4123, 4131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4123 and 4131 is 1.

GCF(4123,4131) = 1

GCF of 4123 and 4131

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

GCF of:
and

Greatest Common Factor of 4123 and 4131

GCF of 4123 and 4131 is 1

Prime Factorization of 4123


7 4123
19 589
31 31
1

Prime factors of 4123 are 7,19,31. Prime factorization of 4123 in exponential form is:

4123 = 71×191×311

Prime Factorization of 4131


3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 4131 are 3,17. Prime factorization of 4131 in exponential form is:

4131 = 35×171

∴ So by taking common prime factors GCF of 4123 and 4131 is 1

Greatest Common Factor of 4123 and 4131 by matching factors method

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1,3,9,17,27,51,81,153,243,459,1377,4131

Greatest Common Factor

We found the factors and prime factorization of 4123 and 4131. The biggest common factor number is the GCF number.
So the greatest common factor 4123 and 4131 is 1.

Also check out the Least Common Multiple of 4123 and 4131

Properties of GCF 4123 and 4131

(i) The GCF of 4123 and 4131 is associative

GCF of 4123 and 4131 = GCF of 4131 and 4123

Related Greatest Common Factor of 4123

Related Greatest Common Factor of 4131

Frequently Asked Questions on GCF of 4123 and 4131

1. What is the GCF of 4123 and 4131?

Answer: GCF of 4123 and 4131 is 1.

2. What are the Factors of 4123?

Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.

3. What are the Factors of 4131?

Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.

4. How to Find the GCF of 4123 and 4131?

Answer:

Greatest Common Factor of 4123 and 4131 = 1

Step 1: Find the prime factorization of 4123

4123 = 7 x 19 x 31

Step 2: Find the prime factorization of 4131

4131 = 3 x 3 x 3 x 3 x 3 x 17

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 4123 and 4131 is 1