Greatest Common Factor of 3488 and 3494

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, 3494 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3488 and 3494 is 2.

GCF(3488,3494) = 2

GCF of 3488 and 3494

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

GCF of:
and

Greatest Common Factor of 3488 and 3494

GCF of 3488 and 3494 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 3494


2 3494
1747 1747
1

Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:

3494 = 21×17471

∴ So by taking common prime factors GCF of 3488 and 3494 is 2

Greatest Common Factor of 3488 and 3494 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 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1,2,1747,3494

Greatest Common Factor

We found the factors and prime factorization of 3488 and 3494. The biggest common factor number is the GCF number.
So the greatest common factor 3488 and 3494 is 2.

Also check out the Least Common Multiple of 3488 and 3494

Properties of GCF 3488 and 3494

(i) The GCF of 3488 and 3494 is associative

GCF of 3488 and 3494 = GCF of 3494 and 3488

Related Greatest Common Factor of 3488

Related Greatest Common Factor of 3494

Frequently Asked Questions on GCF of 3488 and 3494

1. What is the GCF of 3488 and 3494?

Answer: GCF of 3488 and 3494 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 3494?

Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.

4. How to Find the GCF of 3488 and 3494?

Answer:

Greatest Common Factor of 3488 and 3494 = 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 3494

3494 = 2 x 1747

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 3494 is 2