Greatest Common Factor of 36312 and 36320

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 36312, 36320 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36312 and 36320 is 8.

GCF(36312,36320) = 8

GCF of 36312 and 36320

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

GCF of:
and

Greatest Common Factor of 36312 and 36320

GCF of 36312 and 36320 is 8

Prime Factorization of 36312


2 36312
2 18156
2 9078
3 4539
17 1513
89 89
1

Prime factors of 36312 are 2,3,17,89. Prime factorization of 36312 in exponential form is:

36312 = 23×31×171×891

Prime Factorization of 36320


2 36320
2 18160
2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 36320 are 2,5,227. Prime factorization of 36320 in exponential form is:

36320 = 25×51×2271

∴ So by taking common prime factors GCF of 36312 and 36320 is 8

Greatest Common Factor of 36312 and 36320 by matching factors method

Factors of 36312

List of positive integer factors of 36312 that divides 36312 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,89,102,136,178,204,267,356,408,534,712,1068,1513,2136,3026,4539,6052,9078,12104,18156,36312

Factors of 36320

List of positive integer factors of 36320 that divides 36320 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,227,454,908,1135,1816,2270,3632,4540,7264,9080,18160,36320

Greatest Common Factor

We found the factors and prime factorization of 36312 and 36320. The biggest common factor number is the GCF number.
So the greatest common factor 36312 and 36320 is 8.

Also check out the Least Common Multiple of 36312 and 36320

Properties of GCF 36312 and 36320

(i) The GCF of 36312 and 36320 is associative

GCF of 36312 and 36320 = GCF of 36320 and 36312

Related Greatest Common Factor of 36312

Related Greatest Common Factor of 36320

Frequently Asked Questions on GCF of 36312 and 36320

1. What is the GCF of 36312 and 36320?

Answer: GCF of 36312 and 36320 is 8.

2. What are the Factors of 36312?

Answer: Factors of 36312 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312. There are 32 integers that are factors of 36312. The greatest factor of 36312 is 36312.

3. What are the Factors of 36320?

Answer: Factors of 36320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 227, 454, 908, 1135, 1816, 2270, 3632, 4540, 7264, 9080, 18160, 36320. There are 24 integers that are factors of 36320. The greatest factor of 36320 is 36320.

4. How to Find the GCF of 36312 and 36320?

Answer:

Greatest Common Factor of 36312 and 36320 = 8

Step 1: Find the prime factorization of 36312

36312 = 2 x 2 x 2 x 3 x 17 x 89

Step 2: Find the prime factorization of 36320

36320 = 2 x 2 x 2 x 2 x 2 x 5 x 227

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 36312 and 36320 is 8