Greatest Common Factor of 3473 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 3473, 3480 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3473 and 3480 is 1.

GCF(3473,3480) = 1

GCF of 3473 and 3480

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

GCF of:
and

Greatest Common Factor of 3473 and 3480

GCF of 3473 and 3480 is 1

Prime Factorization of 3473


23 3473
151 151
1

Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:

3473 = 231×1511

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 3473 and 3480 is 1

Greatest Common Factor of 3473 and 3480 by matching factors method

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1,23,151,3473

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 3473 and 3480. The biggest common factor number is the GCF number.
So the greatest common factor 3473 and 3480 is 1.

Also check out the Least Common Multiple of 3473 and 3480

Properties of GCF 3473 and 3480

(i) The GCF of 3473 and 3480 is associative

GCF of 3473 and 3480 = GCF of 3480 and 3473

Related Greatest Common Factor of 3473

Related Greatest Common Factor of 3480

Frequently Asked Questions on GCF of 3473 and 3480

1. What is the GCF of 3473 and 3480?

Answer: GCF of 3473 and 3480 is 1.

2. What are the Factors of 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

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 3473 and 3480?

Answer:

Greatest Common Factor of 3473 and 3480 = 1

Step 1: Find the prime factorization of 3473

3473 = 23 x 151

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 = = 1

Step 4: Therefore, the greatest common factor of 3473 and 3480 is 1