Greatest Common Factor of 539 and 542

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 539, 542 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 539 and 542 is 1.

GCF(539,542) = 1

GCF of 539 and 542

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

GCF of:
and

Greatest Common Factor of 539 and 542

GCF of 539 and 542 is 1

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

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

∴ So by taking common prime factors GCF of 539 and 542 is 1

Greatest Common Factor of 539 and 542 by matching factors method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 542

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

1,2,271,542

Greatest Common Factor

We found the factors and prime factorization of 539 and 542. The biggest common factor number is the GCF number.
So the greatest common factor 539 and 542 is 1.

Also check out the Least Common Multiple of 539 and 542

Properties of GCF 539 and 542

(i) The GCF of 539 and 542 is associative

GCF of 539 and 542 = GCF of 542 and 539

Related Greatest Common Factor of 539

Related Greatest Common Factor of 542

Frequently Asked Questions on GCF of 539 and 542

1. What is the GCF of 539 and 542?

Answer: GCF of 539 and 542 is 1.

2. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

3. 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.

4. How to Find the GCF of 539 and 542?

Answer:

Greatest Common Factor of 539 and 542 = 1

Step 1: Find the prime factorization of 539

539 = 7 x 7 x 11

Step 2: Find the prime factorization of 542

542 = 2 x 271

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 539 and 542 is 1