Greatest Common Factor of 313423 and 313430

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 313423, 313430 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 313423 and 313430 is 1.

GCF(313423,313430) = 1

GCF of 313423 and 313430

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

GCF of:
and

Greatest Common Factor of 313423 and 313430

GCF of 313423 and 313430 is 1

Prime Factorization of 313423


11 313423
28493 28493
1

Prime factors of 313423 are 11,28493. Prime factorization of 313423 in exponential form is:

313423 = 111×284931

Prime Factorization of 313430


2 313430
5 156715
13 31343
2411 2411
1

Prime factors of 313430 are 2,5,13,2411. Prime factorization of 313430 in exponential form is:

313430 = 21×51×131×24111

∴ So by taking common prime factors GCF of 313423 and 313430 is 1

Greatest Common Factor of 313423 and 313430 by matching factors method

Factors of 313423

List of positive integer factors of 313423 that divides 313423 without a remainder.

1,11,28493,313423

Factors of 313430

List of positive integer factors of 313430 that divides 313430 without a remainder.

1,2,5,10,13,26,65,130,2411,4822,12055,24110,31343,62686,156715,313430

Greatest Common Factor

We found the factors and prime factorization of 313423 and 313430. The biggest common factor number is the GCF number.
So the greatest common factor 313423 and 313430 is 1.

Also check out the Least Common Multiple of 313423 and 313430

Properties of GCF 313423 and 313430

(i) The GCF of 313423 and 313430 is associative

GCF of 313423 and 313430 = GCF of 313430 and 313423

Frequently Asked Questions on GCF of 313423 and 313430

1. What is the GCF of 313423 and 313430?

Answer: GCF of 313423 and 313430 is 1.

2. What are the Factors of 313423?

Answer: Factors of 313423 are 1, 11, 28493, 313423. There are 4 integers that are factors of 313423. The greatest factor of 313423 is 313423.

3. What are the Factors of 313430?

Answer: Factors of 313430 are 1, 2, 5, 10, 13, 26, 65, 130, 2411, 4822, 12055, 24110, 31343, 62686, 156715, 313430. There are 16 integers that are factors of 313430. The greatest factor of 313430 is 313430.

4. How to Find the GCF of 313423 and 313430?

Answer:

Greatest Common Factor of 313423 and 313430 = 1

Step 1: Find the prime factorization of 313423

313423 = 11 x 28493

Step 2: Find the prime factorization of 313430

313430 = 2 x 5 x 13 x 2411

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 313423 and 313430 is 1