Greatest Common Factor of 3548 and 3552

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 3548, 3552 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3548 and 3552 is 4.

GCF(3548,3552) = 4

GCF of 3548 and 3552

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

GCF of:
and

Greatest Common Factor of 3548 and 3552

GCF of 3548 and 3552 is 4

Prime Factorization of 3548


2 3548
2 1774
887 887
1

Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:

3548 = 22×8871

Prime Factorization of 3552


2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 3552 are 2,3,37. Prime factorization of 3552 in exponential form is:

3552 = 25×31×371

∴ So by taking common prime factors GCF of 3548 and 3552 is 4

Greatest Common Factor of 3548 and 3552 by matching factors method

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552

Greatest Common Factor

We found the factors and prime factorization of 3548 and 3552. The biggest common factor number is the GCF number.
So the greatest common factor 3548 and 3552 is 4.

Also check out the Least Common Multiple of 3548 and 3552

Properties of GCF 3548 and 3552

(i) The GCF of 3548 and 3552 is associative

GCF of 3548 and 3552 = GCF of 3552 and 3548

Related Greatest Common Factor of 3548

Related Greatest Common Factor of 3552

Frequently Asked Questions on GCF of 3548 and 3552

1. What is the GCF of 3548 and 3552?

Answer: GCF of 3548 and 3552 is 4.

2. What are the Factors of 3548?

Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.

3. What are the Factors of 3552?

Answer: Factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. There are 24 integers that are factors of 3552. The greatest factor of 3552 is 3552.

4. How to Find the GCF of 3548 and 3552?

Answer:

Greatest Common Factor of 3548 and 3552 = 4

Step 1: Find the prime factorization of 3548

3548 = 2 x 2 x 887

Step 2: Find the prime factorization of 3552

3552 = 2 x 2 x 2 x 2 x 2 x 3 x 37

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 3548 and 3552 is 4