Greatest Common Factor of 3562 and 3568

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 3562, 3568 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3562 and 3568 is 2.

GCF(3562,3568) = 2

GCF of 3562 and 3568

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

GCF of:
and

Greatest Common Factor of 3562 and 3568

GCF of 3562 and 3568 is 2

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

Prime Factorization of 3568


2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 3568 are 2,223. Prime factorization of 3568 in exponential form is:

3568 = 24×2231

∴ So by taking common prime factors GCF of 3562 and 3568 is 2

Greatest Common Factor of 3562 and 3568 by matching factors method

Factors of 3562

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

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

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1,2,4,8,16,223,446,892,1784,3568

Greatest Common Factor

We found the factors and prime factorization of 3562 and 3568. The biggest common factor number is the GCF number.
So the greatest common factor 3562 and 3568 is 2.

Also check out the Least Common Multiple of 3562 and 3568

Properties of GCF 3562 and 3568

(i) The GCF of 3562 and 3568 is associative

GCF of 3562 and 3568 = GCF of 3568 and 3562

Related Greatest Common Factor of 3562

Related Greatest Common Factor of 3568

Frequently Asked Questions on GCF of 3562 and 3568

1. What is the GCF of 3562 and 3568?

Answer: GCF of 3562 and 3568 is 2.

2. 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.

3. What are the Factors of 3568?

Answer: Factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568. There are 10 integers that are factors of 3568. The greatest factor of 3568 is 3568.

4. How to Find the GCF of 3562 and 3568?

Answer:

Greatest Common Factor of 3562 and 3568 = 2

Step 1: Find the prime factorization of 3562

3562 = 2 x 13 x 137

Step 2: Find the prime factorization of 3568

3568 = 2 x 2 x 2 x 2 x 223

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 3562 and 3568 is 2