Greatest Common Factor of 47314 and 47320

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 47314, 47320 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47314 and 47320 is 2.

GCF(47314,47320) = 2

GCF of 47314 and 47320

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

GCF of:
and

Greatest Common Factor of 47314 and 47320

GCF of 47314 and 47320 is 2

Prime Factorization of 47314


2 47314
41 23657
577 577
1

Prime factors of 47314 are 2,41,577. Prime factorization of 47314 in exponential form is:

47314 = 21×411×5771

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

∴ So by taking common prime factors GCF of 47314 and 47320 is 2

Greatest Common Factor of 47314 and 47320 by matching factors method

Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1,2,41,82,577,1154,23657,47314

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

Greatest Common Factor

We found the factors and prime factorization of 47314 and 47320. The biggest common factor number is the GCF number.
So the greatest common factor 47314 and 47320 is 2.

Also check out the Least Common Multiple of 47314 and 47320

Properties of GCF 47314 and 47320

(i) The GCF of 47314 and 47320 is associative

GCF of 47314 and 47320 = GCF of 47320 and 47314

Related Greatest Common Factor of 47314

Related Greatest Common Factor of 47320

Frequently Asked Questions on GCF of 47314 and 47320

1. What is the GCF of 47314 and 47320?

Answer: GCF of 47314 and 47320 is 2.

2. What are the Factors of 47314?

Answer: Factors of 47314 are 1, 2, 41, 82, 577, 1154, 23657, 47314. There are 8 integers that are factors of 47314. The greatest factor of 47314 is 47314.

3. 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.

4. How to Find the GCF of 47314 and 47320?

Answer:

Greatest Common Factor of 47314 and 47320 = 2

Step 1: Find the prime factorization of 47314

47314 = 2 x 41 x 577

Step 2: Find the prime factorization of 47320

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

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 47314 and 47320 is 2