Greatest Common Factor of 47320 and 47326

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 47320, 47326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47320 and 47326 is 2.

GCF(47320,47326) = 2

GCF of 47320 and 47326

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

GCF of:
and

Greatest Common Factor of 47320 and 47326

GCF of 47320 and 47326 is 2

Prime Factorization of 47320


2 47320
2 23660
2 11830
5 5915
7 1183
13 169
13 13
1

Prime factors of 47320 are 2,5,7,13. Prime factorization of 47320 in exponential form is:

47320 = 23×51×71×132

Prime Factorization of 47326


2 47326
23663 23663
1

Prime factors of 47326 are 2,23663. Prime factorization of 47326 in exponential form is:

47326 = 21×236631

∴ So by taking common prime factors GCF of 47320 and 47326 is 2

Greatest Common Factor of 47320 and 47326 by matching factors method

Factors of 47320

List of positive integer factors of 47320 that divides 47320 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,169,182,260,280,338,364,455,520,676,728,845,910,1183,1352,1690,1820,2366,3380,3640,4732,5915,6760,9464,11830,23660,47320

Factors of 47326

List of positive integer factors of 47326 that divides 47326 without a remainder.

1,2,23663,47326

Greatest Common Factor

We found the factors and prime factorization of 47320 and 47326. The biggest common factor number is the GCF number.
So the greatest common factor 47320 and 47326 is 2.

Also check out the Least Common Multiple of 47320 and 47326

Properties of GCF 47320 and 47326

(i) The GCF of 47320 and 47326 is associative

GCF of 47320 and 47326 = GCF of 47326 and 47320

Related Greatest Common Factor of 47320

Related Greatest Common Factor of 47326

Frequently Asked Questions on GCF of 47320 and 47326

1. What is the GCF of 47320 and 47326?

Answer: GCF of 47320 and 47326 is 2.

2. What are the Factors of 47320?

Answer: Factors of 47320 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660, 47320. There are 48 integers that are factors of 47320. The greatest factor of 47320 is 47320.

3. What are the Factors of 47326?

Answer: Factors of 47326 are 1, 2, 23663, 47326. There are 4 integers that are factors of 47326. The greatest factor of 47326 is 47326.

4. How to Find the GCF of 47320 and 47326?

Answer:

Greatest Common Factor of 47320 and 47326 = 2

Step 1: Find the prime factorization of 47320

47320 = 2 x 2 x 2 x 5 x 7 x 13 x 13

Step 2: Find the prime factorization of 47326

47326 = 2 x 23663

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

GCF = 2

Step 4: Therefore, the greatest common factor of 47320 and 47326 is 2