Greatest Common Factor of 3350 and 3358

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 3350, 3358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3350 and 3358 is 2.

GCF(3350,3358) = 2

GCF of 3350 and 3358

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

GCF of:
and

Greatest Common Factor of 3350 and 3358

GCF of 3350 and 3358 is 2

Prime Factorization of 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2,5,67. Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

Prime Factorization of 3358


2 3358
23 1679
73 73
1

Prime factors of 3358 are 2,23,73. Prime factorization of 3358 in exponential form is:

3358 = 21×231×731

∴ So by taking common prime factors GCF of 3350 and 3358 is 2

Greatest Common Factor of 3350 and 3358 by matching factors method

Factors of 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1,2,5,10,25,50,67,134,335,670,1675,3350

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1,2,23,46,73,146,1679,3358

Greatest Common Factor

We found the factors and prime factorization of 3350 and 3358. The biggest common factor number is the GCF number.
So the greatest common factor 3350 and 3358 is 2.

Also check out the Least Common Multiple of 3350 and 3358

Properties of GCF 3350 and 3358

(i) The GCF of 3350 and 3358 is associative

GCF of 3350 and 3358 = GCF of 3358 and 3350

Related Greatest Common Factor of 3350

Related Greatest Common Factor of 3358

Frequently Asked Questions on GCF of 3350 and 3358

1. What is the GCF of 3350 and 3358?

Answer: GCF of 3350 and 3358 is 2.

2. What are the Factors of 3350?

Answer: Factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. There are 12 integers that are factors of 3350. The greatest factor of 3350 is 3350.

3. What are the Factors of 3358?

Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.

4. How to Find the GCF of 3350 and 3358?

Answer:

Greatest Common Factor of 3350 and 3358 = 2

Step 1: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 3358

3358 = 2 x 23 x 73

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 3350 and 3358 is 2