Greatest Common Factor of 3506 and 3510

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 3506, 3510 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3506 and 3510 is 2.

GCF(3506,3510) = 2

GCF of 3506 and 3510

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

GCF of:
and

Greatest Common Factor of 3506 and 3510

GCF of 3506 and 3510 is 2

Prime Factorization of 3506


2 3506
1753 1753
1

Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:

3506 = 21×17531

Prime Factorization of 3510


2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 3510 are 2,3,5,13. Prime factorization of 3510 in exponential form is:

3510 = 21×33×51×131

∴ So by taking common prime factors GCF of 3506 and 3510 is 2

Greatest Common Factor of 3506 and 3510 by matching factors method

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510

Greatest Common Factor

We found the factors and prime factorization of 3506 and 3510. The biggest common factor number is the GCF number.
So the greatest common factor 3506 and 3510 is 2.

Also check out the Least Common Multiple of 3506 and 3510

Properties of GCF 3506 and 3510

(i) The GCF of 3506 and 3510 is associative

GCF of 3506 and 3510 = GCF of 3510 and 3506

Related Greatest Common Factor of 3506

Related Greatest Common Factor of 3510

Frequently Asked Questions on GCF of 3506 and 3510

1. What is the GCF of 3506 and 3510?

Answer: GCF of 3506 and 3510 is 2.

2. What are the Factors of 3506?

Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.

3. What are the Factors of 3510?

Answer: Factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510. There are 32 integers that are factors of 3510. The greatest factor of 3510 is 3510.

4. How to Find the GCF of 3506 and 3510?

Answer:

Greatest Common Factor of 3506 and 3510 = 2

Step 1: Find the prime factorization of 3506

3506 = 2 x 1753

Step 2: Find the prime factorization of 3510

3510 = 2 x 3 x 3 x 3 x 5 x 13

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 3506 and 3510 is 2