Greatest Common Factor of 542 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 542, 546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 542 and 546 is 2.

GCF(542,546) = 2

GCF of 542 and 546

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

GCF of:
and

Greatest Common Factor of 542 and 546

GCF of 542 and 546 is 2

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

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 542 and 546 is 2

Greatest Common Factor of 542 and 546 by matching factors method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

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 542 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 542 and 546 is 2.

Also check out the Least Common Multiple of 542 and 546

Properties of GCF 542 and 546

(i) The GCF of 542 and 546 is associative

GCF of 542 and 546 = GCF of 546 and 542

Related Greatest Common Factor of 542

Related Greatest Common Factor of 546

Frequently Asked Questions on GCF of 542 and 546

1. What is the GCF of 542 and 546?

Answer: GCF of 542 and 546 is 2.

2. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

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 542 and 546?

Answer:

Greatest Common Factor of 542 and 546 = 2

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 542 and 546 is 2