Greatest Common Factor of 546 and 549

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 546, 549 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 546 and 549 is 3.

GCF(546,549) = 3

GCF of 546 and 549

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

GCF of:
and

Greatest Common Factor of 546 and 549

GCF of 546 and 549 is 3

Prime Factorization of 546


2 546
3 273
7 91
13 13
1

Prime factors of 546 are 2,3,7,13. Prime factorization of 546 in exponential form is:

546 = 21×31×71×131

Prime Factorization of 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

∴ So by taking common prime factors GCF of 546 and 549 is 3

Greatest Common Factor of 546 and 549 by matching factors method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors and prime factorization of 546 and 549. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 549 is 3.

Also check out the Least Common Multiple of 546 and 549

Properties of GCF 546 and 549

(i) The GCF of 546 and 549 is associative

GCF of 546 and 549 = GCF of 549 and 546

Related Greatest Common Factor of 546

Related Greatest Common Factor of 549

Frequently Asked Questions on GCF of 546 and 549

1. What is the GCF of 546 and 549?

Answer: GCF of 546 and 549 is 3.

2. What are the Factors of 546?

Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.

3. What are the Factors of 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

4. How to Find the GCF of 546 and 549?

Answer:

Greatest Common Factor of 546 and 549 = 3

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 549

549 = 3 x 3 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 546 and 549 is 3