Greatest Common Factor of 3480 and 3484

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, 3484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3480 and 3484 is 4.

GCF(3480,3484) = 4

GCF of 3480 and 3484

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

GCF of:
and

Greatest Common Factor of 3480 and 3484

GCF of 3480 and 3484 is 4

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 3484


2 3484
2 1742
13 871
67 67
1

Prime factors of 3484 are 2,13,67. Prime factorization of 3484 in exponential form is:

3484 = 22×131×671

∴ So by taking common prime factors GCF of 3480 and 3484 is 4

Greatest Common Factor of 3480 and 3484 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 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors and prime factorization of 3480 and 3484. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3484 is 4.

Also check out the Least Common Multiple of 3480 and 3484

Properties of GCF 3480 and 3484

(i) The GCF of 3480 and 3484 is associative

GCF of 3480 and 3484 = GCF of 3484 and 3480

Related Greatest Common Factor of 3480

Related Greatest Common Factor of 3484

Frequently Asked Questions on GCF of 3480 and 3484

1. What is the GCF of 3480 and 3484?

Answer: GCF of 3480 and 3484 is 4.

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 3484?

Answer: Factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. There are 12 integers that are factors of 3484. The greatest factor of 3484 is 3484.

4. How to Find the GCF of 3480 and 3484?

Answer:

Greatest Common Factor of 3480 and 3484 = 4

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 3484

3484 = 2 x 2 x 13 x 67

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3480 and 3484 is 4