Greatest Common Factor of 313430 and 313435

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 313430, 313435 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 313430 and 313435 is 5.

GCF(313430,313435) = 5

GCF of 313430 and 313435

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

GCF of:
and

Greatest Common Factor of 313430 and 313435

GCF of 313430 and 313435 is 5

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

Prime Factorization of 313435


5 313435
62687 62687
1

Prime factors of 313435 are 5,62687. Prime factorization of 313435 in exponential form is:

313435 = 51×626871

∴ So by taking common prime factors GCF of 313430 and 313435 is 5

Greatest Common Factor of 313430 and 313435 by matching factors method

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

Factors of 313435

List of positive integer factors of 313435 that divides 313435 without a remainder.

1,5,62687,313435

Greatest Common Factor

We found the factors and prime factorization of 313430 and 313435. The biggest common factor number is the GCF number.
So the greatest common factor 313430 and 313435 is 5.

Also check out the Least Common Multiple of 313430 and 313435

Properties of GCF 313430 and 313435

(i) The GCF of 313430 and 313435 is associative

GCF of 313430 and 313435 = GCF of 313435 and 313430

Related Greatest Common Factor of 313430

Related Greatest Common Factor of 313435

Frequently Asked Questions on GCF of 313430 and 313435

1. What is the GCF of 313430 and 313435?

Answer: GCF of 313430 and 313435 is 5.

2. 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.

3. What are the Factors of 313435?

Answer: Factors of 313435 are 1, 5, 62687, 313435. There are 4 integers that are factors of 313435. The greatest factor of 313435 is 313435.

4. How to Find the GCF of 313430 and 313435?

Answer:

Greatest Common Factor of 313430 and 313435 = 5

Step 1: Find the prime factorization of 313430

313430 = 2 x 5 x 13 x 2411

Step 2: Find the prime factorization of 313435

313435 = 5 x 62687

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 313430 and 313435 is 5