Greatest Common Factor of 3556 and 3562

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, 3562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3556 and 3562 is 2.

GCF(3556,3562) = 2

GCF of 3556 and 3562

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

GCF of:
and

Greatest Common Factor of 3556 and 3562

GCF of 3556 and 3562 is 2

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 3562


2 3562
13 1781
137 137
1

Prime factors of 3562 are 2,13,137. Prime factorization of 3562 in exponential form is:

3562 = 21×131×1371

∴ So by taking common prime factors GCF of 3556 and 3562 is 2

Greatest Common Factor of 3556 and 3562 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 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1,2,13,26,137,274,1781,3562

Greatest Common Factor

We found the factors and prime factorization of 3556 and 3562. The biggest common factor number is the GCF number.
So the greatest common factor 3556 and 3562 is 2.

Also check out the Least Common Multiple of 3556 and 3562

Properties of GCF 3556 and 3562

(i) The GCF of 3556 and 3562 is associative

GCF of 3556 and 3562 = GCF of 3562 and 3556

Related Greatest Common Factor of 3556

Related Greatest Common Factor of 3562

Frequently Asked Questions on GCF of 3556 and 3562

1. What is the GCF of 3556 and 3562?

Answer: GCF of 3556 and 3562 is 2.

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 3562?

Answer: Factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562. There are 8 integers that are factors of 3562. The greatest factor of 3562 is 3562.

4. How to Find the GCF of 3556 and 3562?

Answer:

Greatest Common Factor of 3556 and 3562 = 2

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3562

3562 = 2 x 13 x 137

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 3556 and 3562 is 2