Greatest Common Factor of 542 and 550

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

Greatest common factor (GCF) of 542 and 550 is 2.

GCF(542,550) = 2

GCF of 542 and 550

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

GCF of:
and

Greatest Common Factor of 542 and 550

GCF of 542 and 550 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 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2,5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

∴ So by taking common prime factors GCF of 542 and 550 is 2

Greatest Common Factor of 542 and 550 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 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors and prime factorization of 542 and 550. The biggest common factor number is the GCF number.
So the greatest common factor 542 and 550 is 2.

Also check out the Least Common Multiple of 542 and 550

Properties of GCF 542 and 550

(i) The GCF of 542 and 550 is associative

GCF of 542 and 550 = GCF of 550 and 542

Related Greatest Common Factor of 542

Related Greatest Common Factor of 550

Frequently Asked Questions on GCF of 542 and 550

1. What is the GCF of 542 and 550?

Answer: GCF of 542 and 550 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 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the GCF of 542 and 550?

Answer:

Greatest Common Factor of 542 and 550 = 2

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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 550 is 2