Greatest Common Factor of 3475 and 3480

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 3475, 3480 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3475 and 3480 is 5.

GCF(3475,3480) = 5

GCF of 3475 and 3480

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

GCF of:
and

Greatest Common Factor of 3475 and 3480

GCF of 3475 and 3480 is 5

Prime Factorization of 3475


5 3475
5 695
139 139
1

Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:

3475 = 52×1391

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

∴ So by taking common prime factors GCF of 3475 and 3480 is 5

Greatest Common Factor of 3475 and 3480 by matching factors method

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1,5,25,139,695,3475

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

Greatest Common Factor

We found the factors and prime factorization of 3475 and 3480. The biggest common factor number is the GCF number.
So the greatest common factor 3475 and 3480 is 5.

Also check out the Least Common Multiple of 3475 and 3480

Properties of GCF 3475 and 3480

(i) The GCF of 3475 and 3480 is associative

GCF of 3475 and 3480 = GCF of 3480 and 3475

Related Greatest Common Factor of 3475

Related Greatest Common Factor of 3480

Frequently Asked Questions on GCF of 3475 and 3480

1. What is the GCF of 3475 and 3480?

Answer: GCF of 3475 and 3480 is 5.

2. What are the Factors of 3475?

Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.

3. 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.

4. How to Find the GCF of 3475 and 3480?

Answer:

Greatest Common Factor of 3475 and 3480 = 5

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3480

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3475 and 3480 is 5