Greatest Common Factor of 3434 and 3442

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 3434, 3442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3434 and 3442 is 2.

GCF(3434,3442) = 2

GCF of 3434 and 3442

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

GCF of:
and

Greatest Common Factor of 3434 and 3442

GCF of 3434 and 3442 is 2

Prime Factorization of 3434


2 3434
17 1717
101 101
1

Prime factors of 3434 are 2,17,101. Prime factorization of 3434 in exponential form is:

3434 = 21×171×1011

Prime Factorization of 3442


2 3442
1721 1721
1

Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:

3442 = 21×17211

∴ So by taking common prime factors GCF of 3434 and 3442 is 2

Greatest Common Factor of 3434 and 3442 by matching factors method

Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1,2,17,34,101,202,1717,3434

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1,2,1721,3442

Greatest Common Factor

We found the factors and prime factorization of 3434 and 3442. The biggest common factor number is the GCF number.
So the greatest common factor 3434 and 3442 is 2.

Also check out the Least Common Multiple of 3434 and 3442

Properties of GCF 3434 and 3442

(i) The GCF of 3434 and 3442 is associative

GCF of 3434 and 3442 = GCF of 3442 and 3434

Related Greatest Common Factor of 3434

Related Greatest Common Factor of 3442

Frequently Asked Questions on GCF of 3434 and 3442

1. What is the GCF of 3434 and 3442?

Answer: GCF of 3434 and 3442 is 2.

2. What are the Factors of 3434?

Answer: Factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434. There are 8 integers that are factors of 3434. The greatest factor of 3434 is 3434.

3. What are the Factors of 3442?

Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.

4. How to Find the GCF of 3434 and 3442?

Answer:

Greatest Common Factor of 3434 and 3442 = 2

Step 1: Find the prime factorization of 3434

3434 = 2 x 17 x 101

Step 2: Find the prime factorization of 3442

3442 = 2 x 1721

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 3434 and 3442 is 2