Greatest Common Factor of 84336 and 84340

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 84336, 84340 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84336 and 84340 is 4.

GCF(84336,84340) = 4

GCF of 84336 and 84340

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

GCF of:
and

Greatest Common Factor of 84336 and 84340

GCF of 84336 and 84340 is 4

Prime Factorization of 84336


2 84336
2 42168
2 21084
2 10542
3 5271
7 1757
251 251
1

Prime factors of 84336 are 2,3,7,251. Prime factorization of 84336 in exponential form is:

84336 = 24×31×71×2511

Prime Factorization of 84340


2 84340
2 42170
5 21085
4217 4217
1

Prime factors of 84340 are 2,5,4217. Prime factorization of 84340 in exponential form is:

84340 = 22×51×42171

∴ So by taking common prime factors GCF of 84336 and 84340 is 4

Greatest Common Factor of 84336 and 84340 by matching factors method

Factors of 84336

List of positive integer factors of 84336 that divides 84336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,251,336,502,753,1004,1506,1757,2008,3012,3514,4016,5271,6024,7028,10542,12048,14056,21084,28112,42168,84336

Factors of 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1,2,4,5,10,20,4217,8434,16868,21085,42170,84340

Greatest Common Factor

We found the factors and prime factorization of 84336 and 84340. The biggest common factor number is the GCF number.
So the greatest common factor 84336 and 84340 is 4.

Also check out the Least Common Multiple of 84336 and 84340

Properties of GCF 84336 and 84340

(i) The GCF of 84336 and 84340 is associative

GCF of 84336 and 84340 = GCF of 84340 and 84336

Related Greatest Common Factor of 84336

Related Greatest Common Factor of 84340

Frequently Asked Questions on GCF of 84336 and 84340

1. What is the GCF of 84336 and 84340?

Answer: GCF of 84336 and 84340 is 4.

2. What are the Factors of 84336?

Answer: Factors of 84336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 251, 336, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 4016, 5271, 6024, 7028, 10542, 12048, 14056, 21084, 28112, 42168, 84336. There are 40 integers that are factors of 84336. The greatest factor of 84336 is 84336.

3. What are the Factors of 84340?

Answer: Factors of 84340 are 1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170, 84340. There are 12 integers that are factors of 84340. The greatest factor of 84340 is 84340.

4. How to Find the GCF of 84336 and 84340?

Answer:

Greatest Common Factor of 84336 and 84340 = 4

Step 1: Find the prime factorization of 84336

84336 = 2 x 2 x 2 x 2 x 3 x 7 x 251

Step 2: Find the prime factorization of 84340

84340 = 2 x 2 x 5 x 4217

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 84336 and 84340 is 4