Greatest Common Factor of 4352 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 4352, 4360 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4352 and 4360 is 8.

GCF(4352,4360) = 8

GCF of 4352 and 4360

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

GCF of:
and

Greatest Common Factor of 4352 and 4360

GCF of 4352 and 4360 is 8

Prime Factorization of 4352


2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 4352 are 2,17. Prime factorization of 4352 in exponential form is:

4352 = 28×171

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 4352 and 4360 is 8

Greatest Common Factor of 4352 and 4360 by matching factors method

Factors of 4352

List of positive integer factors of 4352 that divides 4352 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352

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 4352 and 4360. The biggest common factor number is the GCF number.
So the greatest common factor 4352 and 4360 is 8.

Also check out the Least Common Multiple of 4352 and 4360

Properties of GCF 4352 and 4360

(i) The GCF of 4352 and 4360 is associative

GCF of 4352 and 4360 = GCF of 4360 and 4352

Related Greatest Common Factor of 4352

Related Greatest Common Factor of 4360

Frequently Asked Questions on GCF of 4352 and 4360

1. What is the GCF of 4352 and 4360?

Answer: GCF of 4352 and 4360 is 8.

2. What are the Factors of 4352?

Answer: Factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. There are 18 integers that are factors of 4352. The greatest factor of 4352 is 4352.

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 4352 and 4360?

Answer:

Greatest Common Factor of 4352 and 4360 = 8

Step 1: Find the prime factorization of 4352

4352 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 4352 and 4360 is 8