Greatest Common Factor of 6354 and 6360

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 6354, 6360 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6354 and 6360 is 6.

GCF(6354,6360) = 6

GCF of 6354 and 6360

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

GCF of:
and

Greatest Common Factor of 6354 and 6360

GCF of 6354 and 6360 is 6

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2,3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

Prime Factorization of 6360


2 6360
2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 6360 are 2,3,5,53. Prime factorization of 6360 in exponential form is:

6360 = 23×31×51×531

∴ So by taking common prime factors GCF of 6354 and 6360 is 6

Greatest Common Factor of 6354 and 6360 by matching factors method

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Greatest Common Factor

We found the factors and prime factorization of 6354 and 6360. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6360 is 6.

Also check out the Least Common Multiple of 6354 and 6360

Properties of GCF 6354 and 6360

(i) The GCF of 6354 and 6360 is associative

GCF of 6354 and 6360 = GCF of 6360 and 6354

Related Greatest Common Factor of 6354

Related Greatest Common Factor of 6360

Frequently Asked Questions on GCF of 6354 and 6360

1. What is the GCF of 6354 and 6360?

Answer: GCF of 6354 and 6360 is 6.

2. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

3. What are the Factors of 6360?

Answer: Factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360. There are 32 integers that are factors of 6360. The greatest factor of 6360 is 6360.

4. How to Find the GCF of 6354 and 6360?

Answer:

Greatest Common Factor of 6354 and 6360 = 6

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6360

6360 = 2 x 2 x 2 x 3 x 5 x 53

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 6354 and 6360 is 6