Greatest Common Factor of 5336 and 5342

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 5336, 5342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5336 and 5342 is 2.

GCF(5336,5342) = 2

GCF of 5336 and 5342

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

GCF of:
and

Greatest Common Factor of 5336 and 5342

GCF of 5336 and 5342 is 2

Prime Factorization of 5336


2 5336
2 2668
2 1334
23 667
29 29
1

Prime factors of 5336 are 2,23,29. Prime factorization of 5336 in exponential form is:

5336 = 23×231×291

Prime Factorization of 5342


2 5342
2671 2671
1

Prime factors of 5342 are 2,2671. Prime factorization of 5342 in exponential form is:

5342 = 21×26711

∴ So by taking common prime factors GCF of 5336 and 5342 is 2

Greatest Common Factor of 5336 and 5342 by matching factors method

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Greatest Common Factor

We found the factors and prime factorization of 5336 and 5342. The biggest common factor number is the GCF number.
So the greatest common factor 5336 and 5342 is 2.

Also check out the Least Common Multiple of 5336 and 5342

Properties of GCF 5336 and 5342

(i) The GCF of 5336 and 5342 is associative

GCF of 5336 and 5342 = GCF of 5342 and 5336

Related Greatest Common Factor of 5336

Related Greatest Common Factor of 5342

Frequently Asked Questions on GCF of 5336 and 5342

1. What is the GCF of 5336 and 5342?

Answer: GCF of 5336 and 5342 is 2.

2. What are the Factors of 5336?

Answer: Factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336. There are 16 integers that are factors of 5336. The greatest factor of 5336 is 5336.

3. What are the Factors of 5342?

Answer: Factors of 5342 are 1, 2, 2671, 5342. There are 4 integers that are factors of 5342. The greatest factor of 5342 is 5342.

4. How to Find the GCF of 5336 and 5342?

Answer:

Greatest Common Factor of 5336 and 5342 = 2

Step 1: Find the prime factorization of 5336

5336 = 2 x 2 x 2 x 23 x 29

Step 2: Find the prime factorization of 5342

5342 = 2 x 2671

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 5336 and 5342 is 2