Greatest Common Factor of 3420 and 3426

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 3420, 3426 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3420 and 3426 is 6.

GCF(3420,3426) = 6

GCF of 3420 and 3426

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

GCF of:
and

Greatest Common Factor of 3420 and 3426

GCF of 3420 and 3426 is 6

Prime Factorization of 3420


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

Prime factors of 3420 are 2,3,5,19. Prime factorization of 3420 in exponential form is:

3420 = 22×32×51×191

Prime Factorization of 3426


2 3426
3 1713
571 571
1

Prime factors of 3426 are 2,3,571. Prime factorization of 3426 in exponential form is:

3426 = 21×31×5711

∴ So by taking common prime factors GCF of 3420 and 3426 is 6

Greatest Common Factor of 3420 and 3426 by matching factors method

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

Factors of 3426

List of positive integer factors of 3426 that divides 3426 without a remainder.

1,2,3,6,571,1142,1713,3426

Greatest Common Factor

We found the factors and prime factorization of 3420 and 3426. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3426 is 6.

Also check out the Least Common Multiple of 3420 and 3426

Properties of GCF 3420 and 3426

(i) The GCF of 3420 and 3426 is associative

GCF of 3420 and 3426 = GCF of 3426 and 3420

Related Greatest Common Factor of 3420

Related Greatest Common Factor of 3426

Frequently Asked Questions on GCF of 3420 and 3426

1. What is the GCF of 3420 and 3426?

Answer: GCF of 3420 and 3426 is 6.

2. 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.

3. What are the Factors of 3426?

Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.

4. How to Find the GCF of 3420 and 3426?

Answer:

Greatest Common Factor of 3420 and 3426 = 6

Step 1: Find the prime factorization of 3420

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

Step 2: Find the prime factorization of 3426

3426 = 2 x 3 x 571

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3420 and 3426 is 6