Greatest Common Factor of 5538 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 5538, 5546 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5538 and 5546 is 2.

GCF(5538,5546) = 2

GCF of 5538 and 5546

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

GCF of:
and

Greatest Common Factor of 5538 and 5546

GCF of 5538 and 5546 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 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 5538 and 5546 is 2

Greatest Common Factor of 5538 and 5546 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 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 5538 and 5546. The biggest common factor number is the GCF number.
So the greatest common factor 5538 and 5546 is 2.

Also check out the Least Common Multiple of 5538 and 5546

Properties of GCF 5538 and 5546

(i) The GCF of 5538 and 5546 is associative

GCF of 5538 and 5546 = GCF of 5546 and 5538

Related Greatest Common Factor of 5538

Related Greatest Common Factor of 5546

Frequently Asked Questions on GCF of 5538 and 5546

1. What is the GCF of 5538 and 5546?

Answer: GCF of 5538 and 5546 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 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 5538 and 5546?

Answer:

Greatest Common Factor of 5538 and 5546 = 2

Step 1: Find the prime factorization of 5538

5538 = 2 x 3 x 13 x 71

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 5538 and 5546 is 2