Greatest Common Factor of 5538 and 5542

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 5538, 5542 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5538 and 5542 is 2.

GCF(5538,5542) = 2

GCF of 5538 and 5542

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

GCF of:
and

Greatest Common Factor of 5538 and 5542

GCF of 5538 and 5542 is 2

Prime Factorization of 5538


2 5538
3 2769
13 923
71 71
1

Prime factors of 5538 are 2,3,13,71. Prime factorization of 5538 in exponential form is:

5538 = 21×31×131×711

Prime Factorization of 5542


2 5542
17 2771
163 163
1

Prime factors of 5542 are 2,17,163. Prime factorization of 5542 in exponential form is:

5542 = 21×171×1631

∴ So by taking common prime factors GCF of 5538 and 5542 is 2

Greatest Common Factor of 5538 and 5542 by matching factors method

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Factors of 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors and prime factorization of 5538 and 5542. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5542 is 2.

Also check out the Least Common Multiple of 5538 and 5542

Properties of GCF 5538 and 5542

(i) The GCF of 5538 and 5542 is associative

GCF of 5538 and 5542 = GCF of 5542 and 5538

Related Greatest Common Factor of 5538

Related Greatest Common Factor of 5542

Frequently Asked Questions on GCF of 5538 and 5542

1. What is the GCF of 5538 and 5542?

Answer: GCF of 5538 and 5542 is 2.

2. What are the Factors of 5538?

Answer: Factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538. There are 16 integers that are factors of 5538. The greatest factor of 5538 is 5538.

3. What are the Factors of 5542?

Answer: Factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542. There are 8 integers that are factors of 5542. The greatest factor of 5542 is 5542.

4. How to Find the GCF of 5538 and 5542?

Answer:

Greatest Common Factor of 5538 and 5542 = 2

Step 1: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

Step 2: Find the prime factorization of 5542

5542 = 2 x 17 x 163

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 5538 and 5542 is 2