Greatest Common Factor of 3413 and 3420

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 3413, 3420 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3413 and 3420 is 1.

GCF(3413,3420) = 1

GCF of 3413 and 3420

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

GCF of:
and

Greatest Common Factor of 3413 and 3420

GCF of 3413 and 3420 is 1

Prime Factorization of 3413


3413 3413
1

Prime factors of 3413 are 3413. Prime factorization of 3413 in exponential form is:

3413 = 34131

Prime Factorization of 3420


2 3420
2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 3420 are 2.Prime factorization of 3420 in exponential form is:

3420 = 22×32×51×191

∴ So by taking common prime factors GCF of 3413 and 3420 is 1

Greatest Common Factor of 3413 and 3420 by matching factors method

Factors of 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1,3413

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors and prime factorization of 3413 and 3420. The biggest common factor number is the GCF number.
So the greatest common factor 3413 and 3420 is 1.

Also check out the Least Common Multiple of 3413 and 3420

Properties of GCF 3413 and 3420

(i) The GCF of 3413 and 3420 is associative

GCF of 3413 and 3420 = GCF of 3420 and 3413

Related Greatest Common Factor of 3413

Related Greatest Common Factor of 3420

Frequently Asked Questions on GCF of 3413 and 3420

1. What is the GCF of 3413 and 3420?

Answer: GCF of 3413 and 3420 is 1.

2. What are the Factors of 3413?

Answer: Factors of 3413 are 1, 3413. There are 2 integers that are factors of 3413. The greatest factor of 3413 is 3413.

3. What are the Factors of 3420?

Answer: Factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420. There are 36 integers that are factors of 3420. The greatest factor of 3420 is 3420.

4. How to Find the GCF of 3413 and 3420?

Answer:

Greatest Common Factor of 3413 and 3420 = 1

Step 1: Find the prime factorization of 3413

3413 = 3413

Step 2: Find the prime factorization of 3420

3420 = 2 x 2 x 3 x 3 x 5 x 19

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 3413 and 3420 is 1