Greatest Common Factor of 544 and 546

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 544, 546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 544 and 546 is 2.

GCF(544,546) = 2

GCF of 544 and 546

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

GCF of:
and

Greatest Common Factor of 544 and 546

GCF of 544 and 546 is 2

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

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

∴ So by taking common prime factors GCF of 544 and 546 is 2

Greatest Common Factor of 544 and 546 by matching factors method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

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

Greatest Common Factor

We found the factors and prime factorization of 544 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 544 and 546 is 2.

Also check out the Least Common Multiple of 544 and 546

Properties of GCF 544 and 546

(i) The GCF of 544 and 546 is associative

GCF of 544 and 546 = GCF of 546 and 544

Related Greatest Common Factor of 544

Related Greatest Common Factor of 546

Frequently Asked Questions on GCF of 544 and 546

1. What is the GCF of 544 and 546?

Answer: GCF of 544 and 546 is 2.

2. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

3. 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.

4. How to Find the GCF of 544 and 546?

Answer:

Greatest Common Factor of 544 and 546 = 2

Step 1: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

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 544 and 546 is 2