Greatest Common Factor of 47316 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 47316, 47320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47316 and 47320 is 4.

GCF(47316,47320) = 4

GCF of 47316 and 47320

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

GCF of:
and

Greatest Common Factor of 47316 and 47320

GCF of 47316 and 47320 is 4

Prime Factorization of 47316


2 47316
2 23658
3 11829
3943 3943
1

Prime factors of 47316 are 2,3,3943. Prime factorization of 47316 in exponential form is:

47316 = 22×31×39431

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 47316 and 47320 is 4

Greatest Common Factor of 47316 and 47320 by matching factors method

Factors of 47316

List of positive integer factors of 47316 that divides 47316 without a remainder.

1,2,3,4,6,12,3943,7886,11829,15772,23658,47316

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 47316 and 47320. The biggest common factor number is the GCF number.
So the greatest common factor 47316 and 47320 is 4.

Also check out the Least Common Multiple of 47316 and 47320

Properties of GCF 47316 and 47320

(i) The GCF of 47316 and 47320 is associative

GCF of 47316 and 47320 = GCF of 47320 and 47316

Related Greatest Common Factor of 47316

Related Greatest Common Factor of 47320

Frequently Asked Questions on GCF of 47316 and 47320

1. What is the GCF of 47316 and 47320?

Answer: GCF of 47316 and 47320 is 4.

2. What are the Factors of 47316?

Answer: Factors of 47316 are 1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658, 47316. There are 12 integers that are factors of 47316. The greatest factor of 47316 is 47316.

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 47316 and 47320?

Answer:

Greatest Common Factor of 47316 and 47320 = 4

Step 1: Find the prime factorization of 47316

47316 = 2 x 2 x 3 x 3943

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 47316 and 47320 is 4