Greatest Common Factor of 5542 and 5548

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, 5548 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5542 and 5548 is 2.

GCF(5542,5548) = 2

GCF of 5542 and 5548

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

GCF of:
and

Greatest Common Factor of 5542 and 5548

GCF of 5542 and 5548 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 5548


2 5548
2 2774
19 1387
73 73
1

Prime factors of 5548 are 2,19,73. Prime factorization of 5548 in exponential form is:

5548 = 22×191×731

∴ So by taking common prime factors GCF of 5542 and 5548 is 2

Greatest Common Factor of 5542 and 5548 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 5548

List of positive integer factors of 5548 that divides 5548 without a remainder.

1,2,4,19,38,73,76,146,292,1387,2774,5548

Greatest Common Factor

We found the factors and prime factorization of 5542 and 5548. The biggest common factor number is the GCF number.
So the greatest common factor 5542 and 5548 is 2.

Also check out the Least Common Multiple of 5542 and 5548

Properties of GCF 5542 and 5548

(i) The GCF of 5542 and 5548 is associative

GCF of 5542 and 5548 = GCF of 5548 and 5542

Related Greatest Common Factor of 5542

Related Greatest Common Factor of 5548

Frequently Asked Questions on GCF of 5542 and 5548

1. What is the GCF of 5542 and 5548?

Answer: GCF of 5542 and 5548 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 5548?

Answer: Factors of 5548 are 1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548. There are 12 integers that are factors of 5548. The greatest factor of 5548 is 5548.

4. How to Find the GCF of 5542 and 5548?

Answer:

Greatest Common Factor of 5542 and 5548 = 2

Step 1: Find the prime factorization of 5542

5542 = 2 x 17 x 163

Step 2: Find the prime factorization of 5548

5548 = 2 x 2 x 19 x 73

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 5548 is 2