Greatest Common Factor of 3552 and 3556

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 3552, 3556 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3552 and 3556 is 4.

GCF(3552,3556) = 4

GCF of 3552 and 3556

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

GCF of:
and

Greatest Common Factor of 3552 and 3556

GCF of 3552 and 3556 is 4

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

Prime Factorization of 3556


2 3556
2 1778
7 889
127 127
1

Prime factors of 3556 are 2,7,127. Prime factorization of 3556 in exponential form is:

3556 = 22×71×1271

∴ So by taking common prime factors GCF of 3552 and 3556 is 4

Greatest Common Factor of 3552 and 3556 by matching factors method

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

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1,2,4,7,14,28,127,254,508,889,1778,3556

Greatest Common Factor

We found the factors and prime factorization of 3552 and 3556. The biggest common factor number is the GCF number.
So the greatest common factor 3552 and 3556 is 4.

Also check out the Least Common Multiple of 3552 and 3556

Properties of GCF 3552 and 3556

(i) The GCF of 3552 and 3556 is associative

GCF of 3552 and 3556 = GCF of 3556 and 3552

Related Greatest Common Factor of 3552

Related Greatest Common Factor of 3556

Frequently Asked Questions on GCF of 3552 and 3556

1. What is the GCF of 3552 and 3556?

Answer: GCF of 3552 and 3556 is 4.

2. 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.

3. What are the Factors of 3556?

Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.

4. How to Find the GCF of 3552 and 3556?

Answer:

Greatest Common Factor of 3552 and 3556 = 4

Step 1: Find the prime factorization of 3552

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

Step 2: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

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 3552 and 3556 is 4