Greatest Common Factor of 6780 and 6784

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 6780, 6784 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6780 and 6784 is 4.

GCF(6780,6784) = 4

GCF of 6780 and 6784

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

GCF of:
and

Greatest Common Factor of 6780 and 6784

GCF of 6780 and 6784 is 4

Prime Factorization of 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2,3,5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

Prime Factorization of 6784


2 6784
2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:

6784 = 27×531

∴ So by taking common prime factors GCF of 6780 and 6784 is 4

Greatest Common Factor of 6780 and 6784 by matching factors method

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Factors of 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784

Greatest Common Factor

We found the factors and prime factorization of 6780 and 6784. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6784 is 4.

Also check out the Least Common Multiple of 6780 and 6784

Properties of GCF 6780 and 6784

(i) The GCF of 6780 and 6784 is associative

GCF of 6780 and 6784 = GCF of 6784 and 6780

Related Greatest Common Factor of 6780

Related Greatest Common Factor of 6784

Frequently Asked Questions on GCF of 6780 and 6784

1. What is the GCF of 6780 and 6784?

Answer: GCF of 6780 and 6784 is 4.

2. What are the Factors of 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

3. What are the Factors of 6784?

Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.

4. How to Find the GCF of 6780 and 6784?

Answer:

Greatest Common Factor of 6780 and 6784 = 4

Step 1: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

Step 2: Find the prime factorization of 6784

6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53

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 6780 and 6784 is 4