Greatest Common Factor of 15354 and 15360

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 15354, 15360 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15354 and 15360 is 6.

GCF(15354,15360) = 6

GCF of 15354 and 15360

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

GCF of:
and

Greatest Common Factor of 15354 and 15360

GCF of 15354 and 15360 is 6

Prime Factorization of 15354


2 15354
3 7677
3 2559
853 853
1

Prime factors of 15354 are 2,3,853. Prime factorization of 15354 in exponential form is:

15354 = 21×32×8531

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

∴ So by taking common prime factors GCF of 15354 and 15360 is 6

Greatest Common Factor of 15354 and 15360 by matching factors method

Factors of 15354

List of positive integer factors of 15354 that divides 15354 without a remainder.

1,2,3,6,9,18,853,1706,2559,5118,7677,15354

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

Greatest Common Factor

We found the factors and prime factorization of 15354 and 15360. The biggest common factor number is the GCF number.
So the greatest common factor 15354 and 15360 is 6.

Also check out the Least Common Multiple of 15354 and 15360

Properties of GCF 15354 and 15360

(i) The GCF of 15354 and 15360 is associative

GCF of 15354 and 15360 = GCF of 15360 and 15354

Related Greatest Common Factor of 15354

Related Greatest Common Factor of 15360

Frequently Asked Questions on GCF of 15354 and 15360

1. What is the GCF of 15354 and 15360?

Answer: GCF of 15354 and 15360 is 6.

2. What are the Factors of 15354?

Answer: Factors of 15354 are 1, 2, 3, 6, 9, 18, 853, 1706, 2559, 5118, 7677, 15354. There are 12 integers that are factors of 15354. The greatest factor of 15354 is 15354.

3. 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.

4. How to Find the GCF of 15354 and 15360?

Answer:

Greatest Common Factor of 15354 and 15360 = 6

Step 1: Find the prime factorization of 15354

15354 = 2 x 3 x 3 x 853

Step 2: 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 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 15354 and 15360 is 6