Greatest Common Factor of 4356 and 4360

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 4356, 4360 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4356 and 4360 is 4.

GCF(4356,4360) = 4

GCF of 4356 and 4360

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

GCF of:
and

Greatest Common Factor of 4356 and 4360

GCF of 4356 and 4360 is 4

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

Prime Factorization of 4360


2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 4360 are 2,5,109. Prime factorization of 4360 in exponential form is:

4360 = 23×51×1091

∴ So by taking common prime factors GCF of 4356 and 4360 is 4

Greatest Common Factor of 4356 and 4360 by matching factors method

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

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360

Greatest Common Factor

We found the factors and prime factorization of 4356 and 4360. The biggest common factor number is the GCF number.
So the greatest common factor 4356 and 4360 is 4.

Also check out the Least Common Multiple of 4356 and 4360

Properties of GCF 4356 and 4360

(i) The GCF of 4356 and 4360 is associative

GCF of 4356 and 4360 = GCF of 4360 and 4356

Related Greatest Common Factor of 4356

Related Greatest Common Factor of 4360

Frequently Asked Questions on GCF of 4356 and 4360

1. What is the GCF of 4356 and 4360?

Answer: GCF of 4356 and 4360 is 4.

2. 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.

3. What are the Factors of 4360?

Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.

4. How to Find the GCF of 4356 and 4360?

Answer:

Greatest Common Factor of 4356 and 4360 = 4

Step 1: Find the prime factorization of 4356

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

Step 2: Find the prime factorization of 4360

4360 = 2 x 2 x 2 x 5 x 109

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4356 and 4360 is 4