Greatest Common Factor of 5542 and 5546

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 5542, 5546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5542 and 5546 is 2.

GCF(5542,5546) = 2

GCF of 5542 and 5546

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

GCF of:
and

Greatest Common Factor of 5542 and 5546

GCF of 5542 and 5546 is 2

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

Prime Factorization of 5546


2 5546
47 2773
59 59
1

Prime factors of 5546 are 2,47,59. Prime factorization of 5546 in exponential form is:

5546 = 21×471×591

∴ So by taking common prime factors GCF of 5542 and 5546 is 2

Greatest Common Factor of 5542 and 5546 by matching factors method

Factors of 5542

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

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

Factors of 5546

List of positive integer factors of 5546 that divides 5546 without a remainder.

1,2,47,59,94,118,2773,5546

Greatest Common Factor

We found the factors and prime factorization of 5542 and 5546. The biggest common factor number is the GCF number.
So the greatest common factor 5542 and 5546 is 2.

Also check out the Least Common Multiple of 5542 and 5546

Properties of GCF 5542 and 5546

(i) The GCF of 5542 and 5546 is associative

GCF of 5542 and 5546 = GCF of 5546 and 5542

Related Greatest Common Factor of 5542

Related Greatest Common Factor of 5546

Frequently Asked Questions on GCF of 5542 and 5546

1. What is the GCF of 5542 and 5546?

Answer: GCF of 5542 and 5546 is 2.

2. 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.

3. What are the Factors of 5546?

Answer: Factors of 5546 are 1, 2, 47, 59, 94, 118, 2773, 5546. There are 8 integers that are factors of 5546. The greatest factor of 5546 is 5546.

4. How to Find the GCF of 5542 and 5546?

Answer:

Greatest Common Factor of 5542 and 5546 = 2

Step 1: Find the prime factorization of 5542

5542 = 2 x 17 x 163

Step 2: Find the prime factorization of 5546

5546 = 2 x 47 x 59

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 5542 and 5546 is 2