Greatest Common Factor of 5548 and 5552

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 5548, 5552 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5548 and 5552 is 4.

GCF(5548,5552) = 4

GCF of 5548 and 5552

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

GCF of:
and

Greatest Common Factor of 5548 and 5552

GCF of 5548 and 5552 is 4

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

Prime Factorization of 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

∴ So by taking common prime factors GCF of 5548 and 5552 is 4

Greatest Common Factor of 5548 and 5552 by matching factors method

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

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1,2,4,8,16,347,694,1388,2776,5552

Greatest Common Factor

We found the factors and prime factorization of 5548 and 5552. The biggest common factor number is the GCF number.
So the greatest common factor 5548 and 5552 is 4.

Also check out the Least Common Multiple of 5548 and 5552

Properties of GCF 5548 and 5552

(i) The GCF of 5548 and 5552 is associative

GCF of 5548 and 5552 = GCF of 5552 and 5548

Related Greatest Common Factor of 5548

Related Greatest Common Factor of 5552

Frequently Asked Questions on GCF of 5548 and 5552

1. What is the GCF of 5548 and 5552?

Answer: GCF of 5548 and 5552 is 4.

2. 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.

3. What are the Factors of 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

4. How to Find the GCF of 5548 and 5552?

Answer:

Greatest Common Factor of 5548 and 5552 = 4

Step 1: Find the prime factorization of 5548

5548 = 2 x 2 x 19 x 73

Step 2: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5548 and 5552 is 4