Greatest Common Factor of 6546 and 6550

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 6546, 6550 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6546 and 6550 is 2.

GCF(6546,6550) = 2

GCF of 6546 and 6550

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

GCF of:
and

Greatest Common Factor of 6546 and 6550

GCF of 6546 and 6550 is 2

Prime Factorization of 6546


2 6546
3 3273
1091 1091
1

Prime factors of 6546 are 2,3,1091. Prime factorization of 6546 in exponential form is:

6546 = 21×31×10911

Prime Factorization of 6550


2 6550
5 3275
5 655
131 131
1

Prime factors of 6550 are 2,5,131. Prime factorization of 6550 in exponential form is:

6550 = 21×52×1311

∴ So by taking common prime factors GCF of 6546 and 6550 is 2

Greatest Common Factor of 6546 and 6550 by matching factors method

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1,2,3,6,1091,2182,3273,6546

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1,2,5,10,25,50,131,262,655,1310,3275,6550

Greatest Common Factor

We found the factors and prime factorization of 6546 and 6550. The biggest common factor number is the GCF number.
So the greatest common factor 6546 and 6550 is 2.

Also check out the Least Common Multiple of 6546 and 6550

Properties of GCF 6546 and 6550

(i) The GCF of 6546 and 6550 is associative

GCF of 6546 and 6550 = GCF of 6550 and 6546

Related Greatest Common Factor of 6546

Related Greatest Common Factor of 6550

Frequently Asked Questions on GCF of 6546 and 6550

1. What is the GCF of 6546 and 6550?

Answer: GCF of 6546 and 6550 is 2.

2. What are the Factors of 6546?

Answer: Factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546. There are 8 integers that are factors of 6546. The greatest factor of 6546 is 6546.

3. What are the Factors of 6550?

Answer: Factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550. There are 12 integers that are factors of 6550. The greatest factor of 6550 is 6550.

4. How to Find the GCF of 6546 and 6550?

Answer:

Greatest Common Factor of 6546 and 6550 = 2

Step 1: Find the prime factorization of 6546

6546 = 2 x 3 x 1091

Step 2: Find the prime factorization of 6550

6550 = 2 x 5 x 5 x 131

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 6546 and 6550 is 2