Greatest Common Factor of 542 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 542, 548 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 542 and 548 is 2.

GCF(542,548) = 2

GCF of 542 and 548

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

GCF of:
and

Greatest Common Factor of 542 and 548

GCF of 542 and 548 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 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 542 and 548 is 2

Greatest Common Factor of 542 and 548 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 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 542 and 548. The biggest common factor number is the GCF number.
So the greatest common factor 542 and 548 is 2.

Also check out the Least Common Multiple of 542 and 548

Properties of GCF 542 and 548

(i) The GCF of 542 and 548 is associative

GCF of 542 and 548 = GCF of 548 and 542

Related Greatest Common Factor of 542

Related Greatest Common Factor of 548

Frequently Asked Questions on GCF of 542 and 548

1. What is the GCF of 542 and 548?

Answer: GCF of 542 and 548 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 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 542 and 548?

Answer:

Greatest Common Factor of 542 and 548 = 2

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 = 2

Step 4: Therefore, the greatest common factor of 542 and 548 is 2