Greatest Common Factor of 3450 and 3455

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 3450, 3455 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3450 and 3455 is 5.

GCF(3450,3455) = 5

GCF of 3450 and 3455

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

GCF of:
and

Greatest Common Factor of 3450 and 3455

GCF of 3450 and 3455 is 5

Prime Factorization of 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2,3,5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

Prime Factorization of 3455


5 3455
691 691
1

Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:

3455 = 51×6911

∴ So by taking common prime factors GCF of 3450 and 3455 is 5

Greatest Common Factor of 3450 and 3455 by matching factors method

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1,5,691,3455

Greatest Common Factor

We found the factors and prime factorization of 3450 and 3455. The biggest common factor number is the GCF number.
So the greatest common factor 3450 and 3455 is 5.

Also check out the Least Common Multiple of 3450 and 3455

Properties of GCF 3450 and 3455

(i) The GCF of 3450 and 3455 is associative

GCF of 3450 and 3455 = GCF of 3455 and 3450

Related Greatest Common Factor of 3450

Related Greatest Common Factor of 3455

Frequently Asked Questions on GCF of 3450 and 3455

1. What is the GCF of 3450 and 3455?

Answer: GCF of 3450 and 3455 is 5.

2. What are the Factors of 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

3. What are the Factors of 3455?

Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.

4. How to Find the GCF of 3450 and 3455?

Answer:

Greatest Common Factor of 3450 and 3455 = 5

Step 1: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 3455

3455 = 5 x 691

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3450 and 3455 is 5