Greatest Common Factor of 13435 and 13440

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 13435, 13440 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13435 and 13440 is 5.

GCF(13435,13440) = 5

GCF of 13435 and 13440

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

GCF of:
and

Greatest Common Factor of 13435 and 13440

GCF of 13435 and 13440 is 5

Prime Factorization of 13435


5 13435
2687 2687
1

Prime factors of 13435 are 5,2687. Prime factorization of 13435 in exponential form is:

13435 = 51×26871

Prime Factorization of 13440


2 13440
2 6720
2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 13440 are 2,3,5,7. Prime factorization of 13440 in exponential form is:

13440 = 27×31×51×71

∴ So by taking common prime factors GCF of 13435 and 13440 is 5

Greatest Common Factor of 13435 and 13440 by matching factors method

Factors of 13435

List of positive integer factors of 13435 that divides 13435 without a remainder.

1,5,2687,13435

Factors of 13440

List of positive integer factors of 13440 that divides 13440 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,128,140,160,168,192,210,224,240,280,320,336,384,420,448,480,560,640,672,840,896,960,1120,1344,1680,1920,2240,2688,3360,4480,6720,13440

Greatest Common Factor

We found the factors and prime factorization of 13435 and 13440. The biggest common factor number is the GCF number.
So the greatest common factor 13435 and 13440 is 5.

Also check out the Least Common Multiple of 13435 and 13440

Properties of GCF 13435 and 13440

(i) The GCF of 13435 and 13440 is associative

GCF of 13435 and 13440 = GCF of 13440 and 13435

Related Greatest Common Factor of 13435

Related Greatest Common Factor of 13440

Frequently Asked Questions on GCF of 13435 and 13440

1. What is the GCF of 13435 and 13440?

Answer: GCF of 13435 and 13440 is 5.

2. What are the Factors of 13435?

Answer: Factors of 13435 are 1, 5, 2687, 13435. There are 4 integers that are factors of 13435. The greatest factor of 13435 is 13435.

3. What are the Factors of 13440?

Answer: Factors of 13440 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 128, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 384, 420, 448, 480, 560, 640, 672, 840, 896, 960, 1120, 1344, 1680, 1920, 2240, 2688, 3360, 4480, 6720, 13440. There are 64 integers that are factors of 13440. The greatest factor of 13440 is 13440.

4. How to Find the GCF of 13435 and 13440?

Answer:

Greatest Common Factor of 13435 and 13440 = 5

Step 1: Find the prime factorization of 13435

13435 = 5 x 2687

Step 2: Find the prime factorization of 13440

13440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

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 13435 and 13440 is 5