Greatest Common Factor of 3556 and 3563

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 3556, 3563 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3556 and 3563 is 7.

GCF(3556,3563) = 7

GCF of 3556 and 3563

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

GCF of:
and

Greatest Common Factor of 3556 and 3563

GCF of 3556 and 3563 is 7

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

Prime Factorization of 3563


7 3563
509 509
1

Prime factors of 3563 are 7,509. Prime factorization of 3563 in exponential form is:

3563 = 71×5091

∴ So by taking common prime factors GCF of 3556 and 3563 is 7

Greatest Common Factor of 3556 and 3563 by matching factors method

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

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Greatest Common Factor

We found the factors and prime factorization of 3556 and 3563. The biggest common factor number is the GCF number.
So the greatest common factor 3556 and 3563 is 7.

Also check out the Least Common Multiple of 3556 and 3563

Properties of GCF 3556 and 3563

(i) The GCF of 3556 and 3563 is associative

GCF of 3556 and 3563 = GCF of 3563 and 3556

Related Greatest Common Factor of 3556

Related Greatest Common Factor of 3563

Frequently Asked Questions on GCF of 3556 and 3563

1. What is the GCF of 3556 and 3563?

Answer: GCF of 3556 and 3563 is 7.

2. 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.

3. What are the Factors of 3563?

Answer: Factors of 3563 are 1, 7, 509, 3563. There are 4 integers that are factors of 3563. The greatest factor of 3563 is 3563.

4. How to Find the GCF of 3556 and 3563?

Answer:

Greatest Common Factor of 3556 and 3563 = 7

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3563

3563 = 7 x 509

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3556 and 3563 is 7