Greatest Common Factor of 3420 and 3428

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, 3428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3420 and 3428 is 4.

GCF(3420,3428) = 4

GCF of 3420 and 3428

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

GCF of:
and

Greatest Common Factor of 3420 and 3428

GCF of 3420 and 3428 is 4

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 3428


2 3428
2 1714
857 857
1

Prime factors of 3428 are 2,857. Prime factorization of 3428 in exponential form is:

3428 = 22×8571

∴ So by taking common prime factors GCF of 3420 and 3428 is 4

Greatest Common Factor of 3420 and 3428 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 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1,2,4,857,1714,3428

Greatest Common Factor

We found the factors and prime factorization of 3420 and 3428. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3428 is 4.

Also check out the Least Common Multiple of 3420 and 3428

Properties of GCF 3420 and 3428

(i) The GCF of 3420 and 3428 is associative

GCF of 3420 and 3428 = GCF of 3428 and 3420

Related Greatest Common Factor of 3420

Related Greatest Common Factor of 3428

Frequently Asked Questions on GCF of 3420 and 3428

1. What is the GCF of 3420 and 3428?

Answer: GCF of 3420 and 3428 is 4.

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 3428?

Answer: Factors of 3428 are 1, 2, 4, 857, 1714, 3428. There are 6 integers that are factors of 3428. The greatest factor of 3428 is 3428.

4. How to Find the GCF of 3420 and 3428?

Answer:

Greatest Common Factor of 3420 and 3428 = 4

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 3428

3428 = 2 x 2 x 857

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3420 and 3428 is 4