Greatest Common Factor of 15360 and 15368

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 15360, 15368 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15360 and 15368 is 8.

GCF(15360,15368) = 8

GCF of 15360 and 15368

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

GCF of:
and

Greatest Common Factor of 15360 and 15368

GCF of 15360 and 15368 is 8

Prime Factorization of 15360


2 15360
2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 15360 are 2,3,5. Prime factorization of 15360 in exponential form is:

15360 = 210×31×51

Prime Factorization of 15368


2 15368
2 7684
2 3842
17 1921
113 113
1

Prime factors of 15368 are 2,17,113. Prime factorization of 15368 in exponential form is:

15368 = 23×171×1131

∴ So by taking common prime factors GCF of 15360 and 15368 is 8

Greatest Common Factor of 15360 and 15368 by matching factors method

Factors of 15360

List of positive integer factors of 15360 that divides 15360 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1024,1280,1536,1920,2560,3072,3840,5120,7680,15360

Factors of 15368

List of positive integer factors of 15368 that divides 15368 without a remainder.

1,2,4,8,17,34,68,113,136,226,452,904,1921,3842,7684,15368

Greatest Common Factor

We found the factors and prime factorization of 15360 and 15368. The biggest common factor number is the GCF number.
So the greatest common factor 15360 and 15368 is 8.

Also check out the Least Common Multiple of 15360 and 15368

Properties of GCF 15360 and 15368

(i) The GCF of 15360 and 15368 is associative

GCF of 15360 and 15368 = GCF of 15368 and 15360

Related Greatest Common Factor of 15360

Related Greatest Common Factor of 15368

Frequently Asked Questions on GCF of 15360 and 15368

1. What is the GCF of 15360 and 15368?

Answer: GCF of 15360 and 15368 is 8.

2. What are the Factors of 15360?

Answer: Factors of 15360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1024, 1280, 1536, 1920, 2560, 3072, 3840, 5120, 7680, 15360. There are 44 integers that are factors of 15360. The greatest factor of 15360 is 15360.

3. What are the Factors of 15368?

Answer: Factors of 15368 are 1, 2, 4, 8, 17, 34, 68, 113, 136, 226, 452, 904, 1921, 3842, 7684, 15368. There are 16 integers that are factors of 15368. The greatest factor of 15368 is 15368.

4. How to Find the GCF of 15360 and 15368?

Answer:

Greatest Common Factor of 15360 and 15368 = 8

Step 1: Find the prime factorization of 15360

15360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 15368

15368 = 2 x 2 x 2 x 17 x 113

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15360 and 15368 is 8