Greatest Common Factor of 6328 and 6335

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 6328, 6335 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6328 and 6335 is 7.

GCF(6328,6335) = 7

GCF of 6328 and 6335

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

GCF of:
and

Greatest Common Factor of 6328 and 6335

GCF of 6328 and 6335 is 7

Prime Factorization of 6328


2 6328
2 3164
2 1582
7 791
113 113
1

Prime factors of 6328 are 2,7,113. Prime factorization of 6328 in exponential form is:

6328 = 23×71×1131

Prime Factorization of 6335


5 6335
7 1267
181 181
1

Prime factors of 6335 are 5,7,181. Prime factorization of 6335 in exponential form is:

6335 = 51×71×1811

∴ So by taking common prime factors GCF of 6328 and 6335 is 7

Greatest Common Factor of 6328 and 6335 by matching factors method

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Factors of 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1,5,7,35,181,905,1267,6335

Greatest Common Factor

We found the factors and prime factorization of 6328 and 6335. The biggest common factor number is the GCF number.
So the greatest common factor 6328 and 6335 is 7.

Also check out the Least Common Multiple of 6328 and 6335

Properties of GCF 6328 and 6335

(i) The GCF of 6328 and 6335 is associative

GCF of 6328 and 6335 = GCF of 6335 and 6328

Related Greatest Common Factor of 6328

Related Greatest Common Factor of 6335

Frequently Asked Questions on GCF of 6328 and 6335

1. What is the GCF of 6328 and 6335?

Answer: GCF of 6328 and 6335 is 7.

2. What are the Factors of 6328?

Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.

3. What are the Factors of 6335?

Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.

4. How to Find the GCF of 6328 and 6335?

Answer:

Greatest Common Factor of 6328 and 6335 = 7

Step 1: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 6335

6335 = 5 x 7 x 181

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6328 and 6335 is 7