Greatest Common Factor of 335 and 336

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 335, 336 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 335 and 336 is 1.

GCF(335,336) = 1

GCF of 335 and 336

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

GCF of:
and

Greatest Common Factor of 335 and 336

GCF of 335 and 336 is 1

Prime Factorization of 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Prime Factorization of 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2,3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

∴ So by taking common prime factors GCF of 335 and 336 is 1

Greatest Common Factor of 335 and 336 by matching factors method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors and prime factorization of 335 and 336. The biggest common factor number is the GCF number.
So the greatest common factor 335 and 336 is 1.

Also check out the Least Common Multiple of 335 and 336

Properties of GCF 335 and 336

(i) The GCF of 335 and 336 is associative

GCF of 335 and 336 = GCF of 336 and 335

Related Greatest Common Factor of 335

Related Greatest Common Factor of 336

Frequently Asked Questions on GCF of 335 and 336

1. What is the GCF of 335 and 336?

Answer: GCF of 335 and 336 is 1.

2. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

3. What are the Factors of 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the GCF of 335 and 336?

Answer:

Greatest Common Factor of 335 and 336 = 1

Step 1: Find the prime factorization of 335

335 = 5 x 67

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 335 and 336 is 1