Greatest Common Factor of 3380 and 3383

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 3380, 3383 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3380 and 3383 is 1.

GCF(3380,3383) = 1

GCF of 3380 and 3383

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

GCF of:
and

Greatest Common Factor of 3380 and 3383

GCF of 3380 and 3383 is 1

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2,5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

Prime Factorization of 3383


17 3383
199 199
1

Prime factors of 3383 are 17,199. Prime factorization of 3383 in exponential form is:

3383 = 171×1991

∴ So by taking common prime factors GCF of 3380 and 3383 is 1

Greatest Common Factor of 3380 and 3383 by matching factors method

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Factors of 3383

List of positive integer factors of 3383 that divides 3383 without a remainder.

1,17,199,3383

Greatest Common Factor

We found the factors and prime factorization of 3380 and 3383. The biggest common factor number is the GCF number.
So the greatest common factor 3380 and 3383 is 1.

Also check out the Least Common Multiple of 3380 and 3383

Properties of GCF 3380 and 3383

(i) The GCF of 3380 and 3383 is associative

GCF of 3380 and 3383 = GCF of 3383 and 3380

Related Greatest Common Factor of 3380

Related Greatest Common Factor of 3383

Frequently Asked Questions on GCF of 3380 and 3383

1. What is the GCF of 3380 and 3383?

Answer: GCF of 3380 and 3383 is 1.

2. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

3. What are the Factors of 3383?

Answer: Factors of 3383 are 1, 17, 199, 3383. There are 4 integers that are factors of 3383. The greatest factor of 3383 is 3383.

4. How to Find the GCF of 3380 and 3383?

Answer:

Greatest Common Factor of 3380 and 3383 = 1

Step 1: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 3383

3383 = 17 x 199

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3380 and 3383 is 1