Greatest Common Factor of 47316 and 47322

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, 47322 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47316 and 47322 is 6.

GCF(47316,47322) = 6

GCF of 47316 and 47322

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

GCF of:
and

Greatest Common Factor of 47316 and 47322

GCF of 47316 and 47322 is 6

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 47322


2 47322
3 23661
3 7887
11 2629
239 239
1

Prime factors of 47322 are 2,3,11,239. Prime factorization of 47322 in exponential form is:

47322 = 21×32×111×2391

∴ So by taking common prime factors GCF of 47316 and 47322 is 6

Greatest Common Factor of 47316 and 47322 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 47322

List of positive integer factors of 47322 that divides 47322 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198,239,478,717,1434,2151,2629,4302,5258,7887,15774,23661,47322

Greatest Common Factor

We found the factors and prime factorization of 47316 and 47322. The biggest common factor number is the GCF number.
So the greatest common factor 47316 and 47322 is 6.

Also check out the Least Common Multiple of 47316 and 47322

Properties of GCF 47316 and 47322

(i) The GCF of 47316 and 47322 is associative

GCF of 47316 and 47322 = GCF of 47322 and 47316

Related Greatest Common Factor of 47316

Related Greatest Common Factor of 47322

Frequently Asked Questions on GCF of 47316 and 47322

1. What is the GCF of 47316 and 47322?

Answer: GCF of 47316 and 47322 is 6.

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 47322?

Answer: Factors of 47322 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322. There are 24 integers that are factors of 47322. The greatest factor of 47322 is 47322.

4. How to Find the GCF of 47316 and 47322?

Answer:

Greatest Common Factor of 47316 and 47322 = 6

Step 1: Find the prime factorization of 47316

47316 = 2 x 2 x 3 x 3943

Step 2: Find the prime factorization of 47322

47322 = 2 x 3 x 3 x 11 x 239

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 47316 and 47322 is 6