Greatest Common Factor of 3350 and 3355

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, 3355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3350 and 3355 is 5.

GCF(3350,3355) = 5

GCF of 3350 and 3355

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

GCF of:
and

Greatest Common Factor of 3350 and 3355

GCF of 3350 and 3355 is 5

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 3355


5 3355
11 671
61 61
1

Prime factors of 3355 are 5,11,61. Prime factorization of 3355 in exponential form is:

3355 = 51×111×611

∴ So by taking common prime factors GCF of 3350 and 3355 is 5

Greatest Common Factor of 3350 and 3355 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 3355

List of positive integer factors of 3355 that divides 3355 without a remainder.

1,5,11,55,61,305,671,3355

Greatest Common Factor

We found the factors and prime factorization of 3350 and 3355. The biggest common factor number is the GCF number.
So the greatest common factor 3350 and 3355 is 5.

Also check out the Least Common Multiple of 3350 and 3355

Properties of GCF 3350 and 3355

(i) The GCF of 3350 and 3355 is associative

GCF of 3350 and 3355 = GCF of 3355 and 3350

Related Greatest Common Factor of 3350

Related Greatest Common Factor of 3355

Frequently Asked Questions on GCF of 3350 and 3355

1. What is the GCF of 3350 and 3355?

Answer: GCF of 3350 and 3355 is 5.

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 3355?

Answer: Factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355. There are 8 integers that are factors of 3355. The greatest factor of 3355 is 3355.

4. How to Find the GCF of 3350 and 3355?

Answer:

Greatest Common Factor of 3350 and 3355 = 5

Step 1: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 3355

3355 = 5 x 11 x 61

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 3350 and 3355 is 5