Greatest Common Factor of 313430 and 313434

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, 313434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 313430 and 313434 is 2.

GCF(313430,313434) = 2

GCF of 313430 and 313434

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

GCF of:
and

Greatest Common Factor of 313430 and 313434

GCF of 313430 and 313434 is 2

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 313434


2 313434
3 156717
3 52239
11 17413
1583 1583
1

Prime factors of 313434 are 2,3,11,1583. Prime factorization of 313434 in exponential form is:

313434 = 21×32×111×15831

∴ So by taking common prime factors GCF of 313430 and 313434 is 2

Greatest Common Factor of 313430 and 313434 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 313434

List of positive integer factors of 313434 that divides 313434 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198,1583,3166,4749,9498,14247,17413,28494,34826,52239,104478,156717,313434

Greatest Common Factor

We found the factors and prime factorization of 313430 and 313434. The biggest common factor number is the GCF number.
So the greatest common factor 313430 and 313434 is 2.

Also check out the Least Common Multiple of 313430 and 313434

Properties of GCF 313430 and 313434

(i) The GCF of 313430 and 313434 is associative

GCF of 313430 and 313434 = GCF of 313434 and 313430

Related Greatest Common Factor of 313430

Related Greatest Common Factor of 313434

Frequently Asked Questions on GCF of 313430 and 313434

1. What is the GCF of 313430 and 313434?

Answer: GCF of 313430 and 313434 is 2.

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 313434?

Answer: Factors of 313434 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 1583, 3166, 4749, 9498, 14247, 17413, 28494, 34826, 52239, 104478, 156717, 313434. There are 24 integers that are factors of 313434. The greatest factor of 313434 is 313434.

4. How to Find the GCF of 313430 and 313434?

Answer:

Greatest Common Factor of 313430 and 313434 = 2

Step 1: Find the prime factorization of 313430

313430 = 2 x 5 x 13 x 2411

Step 2: Find the prime factorization of 313434

313434 = 2 x 3 x 3 x 11 x 1583

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

GCF = 2

Step 4: Therefore, the greatest common factor of 313430 and 313434 is 2