Greatest Common Factor of 542 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 542, 549 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 542 and 549 is 1.

GCF(542,549) = 1

GCF of 542 and 549

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

GCF of:
and

Greatest Common Factor of 542 and 549

GCF of 542 and 549 is 1

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 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 542 and 549 is 1

Greatest Common Factor of 542 and 549 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 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 542 and 549. The biggest common factor number is the GCF number.
So the greatest common factor 542 and 549 is 1.

Also check out the Least Common Multiple of 542 and 549

Properties of GCF 542 and 549

(i) The GCF of 542 and 549 is associative

GCF of 542 and 549 = GCF of 549 and 542

Related Greatest Common Factor of 542

Related Greatest Common Factor of 549

Frequently Asked Questions on GCF of 542 and 549

1. What is the GCF of 542 and 549?

Answer: GCF of 542 and 549 is 1.

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 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 542 and 549?

Answer:

Greatest Common Factor of 542 and 549 = 1

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 = = 1

Step 4: Therefore, the greatest common factor of 542 and 549 is 1