Greatest Common Factor of 3488 and 3491

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, 3491 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3488 and 3491 is 1.

GCF(3488,3491) = 1

GCF of 3488 and 3491

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

GCF of:
and

Greatest Common Factor of 3488 and 3491

GCF of 3488 and 3491 is 1

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 3491


3491 3491
1

Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:

3491 = 34911

∴ So by taking common prime factors GCF of 3488 and 3491 is 1

Greatest Common Factor of 3488 and 3491 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 3491

List of positive integer factors of 3491 that divides 3491 without a remainder.

1,3491

Greatest Common Factor

We found the factors and prime factorization of 3488 and 3491. The biggest common factor number is the GCF number.
So the greatest common factor 3488 and 3491 is 1.

Also check out the Least Common Multiple of 3488 and 3491

Properties of GCF 3488 and 3491

(i) The GCF of 3488 and 3491 is associative

GCF of 3488 and 3491 = GCF of 3491 and 3488

Related Greatest Common Factor of 3488

Related Greatest Common Factor of 3491

Frequently Asked Questions on GCF of 3488 and 3491

1. What is the GCF of 3488 and 3491?

Answer: GCF of 3488 and 3491 is 1.

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 3491?

Answer: Factors of 3491 are 1, 3491. There are 2 integers that are factors of 3491. The greatest factor of 3491 is 3491.

4. How to Find the GCF of 3488 and 3491?

Answer:

Greatest Common Factor of 3488 and 3491 = 1

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 3491

3491 = 3491

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 3488 and 3491 is 1