Greatest Common Factor of 3418 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 3418, 3420 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3418 and 3420 is 2.

GCF(3418,3420) = 2

GCF of 3418 and 3420

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

GCF of:
and

Greatest Common Factor of 3418 and 3420

GCF of 3418 and 3420 is 2

Prime Factorization of 3418


2 3418
1709 1709
1

Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:

3418 = 21×17091

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

∴ So by taking common prime factors GCF of 3418 and 3420 is 2

Greatest Common Factor of 3418 and 3420 by matching factors method

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

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 3418 and 3420. The biggest common factor number is the GCF number.
So the greatest common factor 3418 and 3420 is 2.

Also check out the Least Common Multiple of 3418 and 3420

Properties of GCF 3418 and 3420

(i) The GCF of 3418 and 3420 is associative

GCF of 3418 and 3420 = GCF of 3420 and 3418

Related Greatest Common Factor of 3418

Related Greatest Common Factor of 3420

Frequently Asked Questions on GCF of 3418 and 3420

1. What is the GCF of 3418 and 3420?

Answer: GCF of 3418 and 3420 is 2.

2. What are the Factors of 3418?

Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.

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 3418 and 3420?

Answer:

Greatest Common Factor of 3418 and 3420 = 2

Step 1: Find the prime factorization of 3418

3418 = 2 x 1709

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 = 2

Step 4: Therefore, the greatest common factor of 3418 and 3420 is 2