Greatest Common Factor of 84336 and 84338

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, 84338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84336 and 84338 is 2.

GCF(84336,84338) = 2

GCF of 84336 and 84338

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

GCF of:
and

Greatest Common Factor of 84336 and 84338

GCF of 84336 and 84338 is 2

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 84338


2 84338
42169 42169
1

Prime factors of 84338 are 2,42169. Prime factorization of 84338 in exponential form is:

84338 = 21×421691

∴ So by taking common prime factors GCF of 84336 and 84338 is 2

Greatest Common Factor of 84336 and 84338 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 84338

List of positive integer factors of 84338 that divides 84338 without a remainder.

1,2,42169,84338

Greatest Common Factor

We found the factors and prime factorization of 84336 and 84338. The biggest common factor number is the GCF number.
So the greatest common factor 84336 and 84338 is 2.

Also check out the Least Common Multiple of 84336 and 84338

Properties of GCF 84336 and 84338

(i) The GCF of 84336 and 84338 is associative

GCF of 84336 and 84338 = GCF of 84338 and 84336

Related Greatest Common Factor of 84336

Related Greatest Common Factor of 84338

Frequently Asked Questions on GCF of 84336 and 84338

1. What is the GCF of 84336 and 84338?

Answer: GCF of 84336 and 84338 is 2.

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 84338?

Answer: Factors of 84338 are 1, 2, 42169, 84338. There are 4 integers that are factors of 84338. The greatest factor of 84338 is 84338.

4. How to Find the GCF of 84336 and 84338?

Answer:

Greatest Common Factor of 84336 and 84338 = 2

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 84338

84338 = 2 x 42169

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 84336 and 84338 is 2