Greatest Common Factor of 543 and 548

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 543, 548 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 543 and 548 is 1.

GCF(543,548) = 1

GCF of 543 and 548

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

GCF of:
and

Greatest Common Factor of 543 and 548

GCF of 543 and 548 is 1

Prime Factorization of 543


3 543
181 181
1

Prime factors of 543 are 3,181. Prime factorization of 543 in exponential form is:

543 = 31×1811

Prime Factorization of 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

∴ So by taking common prime factors GCF of 543 and 548 is 1

Greatest Common Factor of 543 and 548 by matching factors method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors and prime factorization of 543 and 548. The biggest common factor number is the GCF number.
So the greatest common factor 543 and 548 is 1.

Also check out the Least Common Multiple of 543 and 548

Properties of GCF 543 and 548

(i) The GCF of 543 and 548 is associative

GCF of 543 and 548 = GCF of 548 and 543

Related Greatest Common Factor of 543

Related Greatest Common Factor of 548

Frequently Asked Questions on GCF of 543 and 548

1. What is the GCF of 543 and 548?

Answer: GCF of 543 and 548 is 1.

2. What are the Factors of 543?

Answer: Factors of 543 are 1, 3, 181, 543. There are 4 integers that are factors of 543. The greatest factor of 543 is 543.

3. What are the Factors of 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

4. How to Find the GCF of 543 and 548?

Answer:

Greatest Common Factor of 543 and 548 = 1

Step 1: Find the prime factorization of 543

543 = 3 x 181

Step 2: Find the prime factorization of 548

548 = 2 x 2 x 137

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 543 and 548 is 1