Greatest Common Factor of 542 and 545

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

Greatest common factor (GCF) of 542 and 545 is 1.

GCF(542,545) = 1

GCF of 542 and 545

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

GCF of:
and

Greatest Common Factor of 542 and 545

GCF of 542 and 545 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 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

∴ So by taking common prime factors GCF of 542 and 545 is 1

Greatest Common Factor of 542 and 545 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 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors and prime factorization of 542 and 545. The biggest common factor number is the GCF number.
So the greatest common factor 542 and 545 is 1.

Also check out the Least Common Multiple of 542 and 545

Properties of GCF 542 and 545

(i) The GCF of 542 and 545 is associative

GCF of 542 and 545 = GCF of 545 and 542

Related Greatest Common Factor of 542

Related Greatest Common Factor of 545

Frequently Asked Questions on GCF of 542 and 545

1. What is the GCF of 542 and 545?

Answer: GCF of 542 and 545 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 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

4. How to Find the GCF of 542 and 545?

Answer:

Greatest Common Factor of 542 and 545 = 1

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 545

545 = 5 x 109

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 545 is 1