Greatest Common Factor of 3480 and 3488

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, 3488 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3480 and 3488 is 8.

GCF(3480,3488) = 8

GCF of 3480 and 3488

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

GCF of:
and

Greatest Common Factor of 3480 and 3488

GCF of 3480 and 3488 is 8

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 3488


2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 3488 are 2,109. Prime factorization of 3488 in exponential form is:

3488 = 25×1091

∴ So by taking common prime factors GCF of 3480 and 3488 is 8

Greatest Common Factor of 3480 and 3488 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 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Greatest Common Factor

We found the factors and prime factorization of 3480 and 3488. The biggest common factor number is the GCF number.
So the greatest common factor 3480 and 3488 is 8.

Also check out the Least Common Multiple of 3480 and 3488

Properties of GCF 3480 and 3488

(i) The GCF of 3480 and 3488 is associative

GCF of 3480 and 3488 = GCF of 3488 and 3480

Related Greatest Common Factor of 3480

Related Greatest Common Factor of 3488

Frequently Asked Questions on GCF of 3480 and 3488

1. What is the GCF of 3480 and 3488?

Answer: GCF of 3480 and 3488 is 8.

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 3488?

Answer: Factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. There are 12 integers that are factors of 3488. The greatest factor of 3488 is 3488.

4. How to Find the GCF of 3480 and 3488?

Answer:

Greatest Common Factor of 3480 and 3488 = 8

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 3488

3488 = 2 x 2 x 2 x 2 x 2 x 109

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3480 and 3488 is 8