Greatest Common Factor of 4350 and 4356

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 4350, 4356 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4350 and 4356 is 6.

GCF(4350,4356) = 6

GCF of 4350 and 4356

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

GCF of:
and

Greatest Common Factor of 4350 and 4356

GCF of 4350 and 4356 is 6

Prime Factorization of 4350


2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 4350 are 2,3,5,29. Prime factorization of 4350 in exponential form is:

4350 = 21×31×52×291

Prime Factorization of 4356


2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 4356 are 2,3,11. Prime factorization of 4356 in exponential form is:

4356 = 22×32×112

∴ So by taking common prime factors GCF of 4350 and 4356 is 6

Greatest Common Factor of 4350 and 4356 by matching factors method

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Greatest Common Factor

We found the factors and prime factorization of 4350 and 4356. The biggest common factor number is the GCF number.
So the greatest common factor 4350 and 4356 is 6.

Also check out the Least Common Multiple of 4350 and 4356

Properties of GCF 4350 and 4356

(i) The GCF of 4350 and 4356 is associative

GCF of 4350 and 4356 = GCF of 4356 and 4350

Related Greatest Common Factor of 4350

Related Greatest Common Factor of 4356

Frequently Asked Questions on GCF of 4350 and 4356

1. What is the GCF of 4350 and 4356?

Answer: GCF of 4350 and 4356 is 6.

2. What are the Factors of 4350?

Answer: Factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350. There are 24 integers that are factors of 4350. The greatest factor of 4350 is 4350.

3. What are the Factors of 4356?

Answer: Factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356. There are 27 integers that are factors of 4356. The greatest factor of 4356 is 4356.

4. How to Find the GCF of 4350 and 4356?

Answer:

Greatest Common Factor of 4350 and 4356 = 6

Step 1: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 4356

4356 = 2 x 2 x 3 x 3 x 11 x 11

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 4350 and 4356 is 6