Greatest Common Factor of 3480 and 3486

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, 3486 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3480 and 3486 is 6.

GCF(3480,3486) = 6

GCF of 3480 and 3486

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

GCF of:
and

Greatest Common Factor of 3480 and 3486

GCF of 3480 and 3486 is 6

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 3486


2 3486
3 1743
7 581
83 83
1

Prime factors of 3486 are 2,3,7,83. Prime factorization of 3486 in exponential form is:

3486 = 21×31×71×831

∴ So by taking common prime factors GCF of 3480 and 3486 is 6

Greatest Common Factor of 3480 and 3486 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 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Greatest Common Factor

We found the factors and prime factorization of 3480 and 3486. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3486 is 6.

Also check out the Least Common Multiple of 3480 and 3486

Properties of GCF 3480 and 3486

(i) The GCF of 3480 and 3486 is associative

GCF of 3480 and 3486 = GCF of 3486 and 3480

Related Greatest Common Factor of 3480

Related Greatest Common Factor of 3486

Frequently Asked Questions on GCF of 3480 and 3486

1. What is the GCF of 3480 and 3486?

Answer: GCF of 3480 and 3486 is 6.

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 3486?

Answer: Factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486. There are 16 integers that are factors of 3486. The greatest factor of 3486 is 3486.

4. How to Find the GCF of 3480 and 3486?

Answer:

Greatest Common Factor of 3480 and 3486 = 6

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 3486

3486 = 2 x 3 x 7 x 83

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3480 and 3486 is 6