Greatest Common Factor of 3480 and 3487

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, 3487 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3480 and 3487 is 1.

GCF(3480,3487) = 1

GCF of 3480 and 3487

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

GCF of:
and

Greatest Common Factor of 3480 and 3487

GCF of 3480 and 3487 is 1

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 3487


11 3487
317 317
1

Prime factors of 3487 are 11,317. Prime factorization of 3487 in exponential form is:

3487 = 111×3171

∴ So by taking common prime factors GCF of 3480 and 3487 is 1

Greatest Common Factor of 3480 and 3487 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 3487

List of positive integer factors of 3487 that divides 3487 without a remainder.

1,11,317,3487

Greatest Common Factor

We found the factors and prime factorization of 3480 and 3487. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3487 is 1.

Also check out the Least Common Multiple of 3480 and 3487

Properties of GCF 3480 and 3487

(i) The GCF of 3480 and 3487 is associative

GCF of 3480 and 3487 = GCF of 3487 and 3480

Related Greatest Common Factor of 3480

Related Greatest Common Factor of 3487

Frequently Asked Questions on GCF of 3480 and 3487

1. What is the GCF of 3480 and 3487?

Answer: GCF of 3480 and 3487 is 1.

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 3487?

Answer: Factors of 3487 are 1, 11, 317, 3487. There are 4 integers that are factors of 3487. The greatest factor of 3487 is 3487.

4. How to Find the GCF of 3480 and 3487?

Answer:

Greatest Common Factor of 3480 and 3487 = 1

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 3487

3487 = 11 x 317

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3480 and 3487 is 1