Greatest Common Factor of 3480 and 3482

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 3480, 3482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3480 and 3482 is 2.

GCF(3480,3482) = 2

GCF of 3480 and 3482

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

GCF of:
and

Greatest Common Factor of 3480 and 3482

GCF of 3480 and 3482 is 2

Prime Factorization of 3480


2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 3480 are 2,3,5,29. Prime factorization of 3480 in exponential form is:

3480 = 23×31×51×291

Prime Factorization of 3482


2 3482
1741 1741
1

Prime factors of 3482 are 2,1741. Prime factorization of 3482 in exponential form is:

3482 = 21×17411

∴ So by taking common prime factors GCF of 3480 and 3482 is 2

Greatest Common Factor of 3480 and 3482 by matching factors method

Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480

Factors of 3482

List of positive integer factors of 3482 that divides 3482 without a remainder.

1,2,1741,3482

Greatest Common Factor

We found the factors and prime factorization of 3480 and 3482. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3482 is 2.

Also check out the Least Common Multiple of 3480 and 3482

Properties of GCF 3480 and 3482

(i) The GCF of 3480 and 3482 is associative

GCF of 3480 and 3482 = GCF of 3482 and 3480

Related Greatest Common Factor of 3480

Related Greatest Common Factor of 3482

Frequently Asked Questions on GCF of 3480 and 3482

1. What is the GCF of 3480 and 3482?

Answer: GCF of 3480 and 3482 is 2.

2. What are the Factors of 3480?

Answer: Factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480. There are 32 integers that are factors of 3480. The greatest factor of 3480 is 3480.

3. What are the Factors of 3482?

Answer: Factors of 3482 are 1, 2, 1741, 3482. There are 4 integers that are factors of 3482. The greatest factor of 3482 is 3482.

4. How to Find the GCF of 3480 and 3482?

Answer:

Greatest Common Factor of 3480 and 3482 = 2

Step 1: Find the prime factorization of 3480

3480 = 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 3482

3482 = 2 x 1741

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 3480 and 3482 is 2