Greatest Common Factor of 6316 and 6320

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 6316, 6320 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6316 and 6320 is 4.

GCF(6316,6320) = 4

GCF of 6316 and 6320

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

GCF of:
and

Greatest Common Factor of 6316 and 6320

GCF of 6316 and 6320 is 4

Prime Factorization of 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2,5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

∴ So by taking common prime factors GCF of 6316 and 6320 is 4

Greatest Common Factor of 6316 and 6320 by matching factors method

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Greatest Common Factor

We found the factors and prime factorization of 6316 and 6320. The biggest common factor number is the GCF number.
So the greatest common factor 6316 and 6320 is 4.

Also check out the Least Common Multiple of 6316 and 6320

Properties of GCF 6316 and 6320

(i) The GCF of 6316 and 6320 is associative

GCF of 6316 and 6320 = GCF of 6320 and 6316

Related Greatest Common Factor of 6316

Related Greatest Common Factor of 6320

Frequently Asked Questions on GCF of 6316 and 6320

1. What is the GCF of 6316 and 6320?

Answer: GCF of 6316 and 6320 is 4.

2. What are the Factors of 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

3. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

4. How to Find the GCF of 6316 and 6320?

Answer:

Greatest Common Factor of 6316 and 6320 = 4

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

Step 2: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

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 6316 and 6320 is 4