Greatest Common Factor of 3488 and 3490

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 3488, 3490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3488 and 3490 is 2.

GCF(3488,3490) = 2

GCF of 3488 and 3490

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

GCF of:
and

Greatest Common Factor of 3488 and 3490

GCF of 3488 and 3490 is 2

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

Prime Factorization of 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2,5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

∴ So by taking common prime factors GCF of 3488 and 3490 is 2

Greatest Common Factor of 3488 and 3490 by matching factors method

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

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors and prime factorization of 3488 and 3490. The biggest common factor number is the GCF number.
So the greatest common factor 3488 and 3490 is 2.

Also check out the Least Common Multiple of 3488 and 3490

Properties of GCF 3488 and 3490

(i) The GCF of 3488 and 3490 is associative

GCF of 3488 and 3490 = GCF of 3490 and 3488

Related Greatest Common Factor of 3488

Related Greatest Common Factor of 3490

Frequently Asked Questions on GCF of 3488 and 3490

1. What is the GCF of 3488 and 3490?

Answer: GCF of 3488 and 3490 is 2.

2. 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.

3. What are the Factors of 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

4. How to Find the GCF of 3488 and 3490?

Answer:

Greatest Common Factor of 3488 and 3490 = 2

Step 1: Find the prime factorization of 3488

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

Step 2: Find the prime factorization of 3490

3490 = 2 x 5 x 349

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3488 and 3490 is 2