Greatest Common Factor of 313434 and 313440

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 313434, 313440 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 313434 and 313440 is 6.

GCF(313434,313440) = 6

GCF of 313434 and 313440

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

GCF of:
and

Greatest Common Factor of 313434 and 313440

GCF of 313434 and 313440 is 6

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

Prime Factorization of 313440


2 313440
2 156720
2 78360
2 39180
2 19590
3 9795
5 3265
653 653
1

Prime factors of 313440 are 2,3,5,653. Prime factorization of 313440 in exponential form is:

313440 = 25×31×51×6531

∴ So by taking common prime factors GCF of 313434 and 313440 is 6

Greatest Common Factor of 313434 and 313440 by matching factors method

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

Factors of 313440

List of positive integer factors of 313440 that divides 313440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480,653,1306,1959,2612,3265,3918,5224,6530,7836,9795,10448,13060,15672,19590,20896,26120,31344,39180,52240,62688,78360,104480,156720,313440

Greatest Common Factor

We found the factors and prime factorization of 313434 and 313440. The biggest common factor number is the GCF number.
So the greatest common factor 313434 and 313440 is 6.

Also check out the Least Common Multiple of 313434 and 313440

Properties of GCF 313434 and 313440

(i) The GCF of 313434 and 313440 is associative

GCF of 313434 and 313440 = GCF of 313440 and 313434

Related Greatest Common Factor of 313434

Related Greatest Common Factor of 313440

Frequently Asked Questions on GCF of 313434 and 313440

1. What is the GCF of 313434 and 313440?

Answer: GCF of 313434 and 313440 is 6.

2. 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.

3. What are the Factors of 313440?

Answer: Factors of 313440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480, 653, 1306, 1959, 2612, 3265, 3918, 5224, 6530, 7836, 9795, 10448, 13060, 15672, 19590, 20896, 26120, 31344, 39180, 52240, 62688, 78360, 104480, 156720, 313440. There are 48 integers that are factors of 313440. The greatest factor of 313440 is 313440.

4. How to Find the GCF of 313434 and 313440?

Answer:

Greatest Common Factor of 313434 and 313440 = 6

Step 1: Find the prime factorization of 313434

313434 = 2 x 3 x 3 x 11 x 1583

Step 2: Find the prime factorization of 313440

313440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 653

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 313434 and 313440 is 6