Greatest Common Factor of 3420 and 3424

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, 3424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3420 and 3424 is 4.

GCF(3420,3424) = 4

GCF of 3420 and 3424

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

GCF of:
and

Greatest Common Factor of 3420 and 3424

GCF of 3420 and 3424 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 3424


2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 3424 are 2,107. Prime factorization of 3424 in exponential form is:

3424 = 25×1071

∴ So by taking common prime factors GCF of 3420 and 3424 is 4

Greatest Common Factor of 3420 and 3424 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 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors and prime factorization of 3420 and 3424. The biggest common factor number is the GCF number.
So the greatest common factor 3420 and 3424 is 4.

Also check out the Least Common Multiple of 3420 and 3424

Properties of GCF 3420 and 3424

(i) The GCF of 3420 and 3424 is associative

GCF of 3420 and 3424 = GCF of 3424 and 3420

Related Greatest Common Factor of 3420

Related Greatest Common Factor of 3424

Frequently Asked Questions on GCF of 3420 and 3424

1. What is the GCF of 3420 and 3424?

Answer: GCF of 3420 and 3424 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 3424?

Answer: Factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. There are 12 integers that are factors of 3424. The greatest factor of 3424 is 3424.

4. How to Find the GCF of 3420 and 3424?

Answer:

Greatest Common Factor of 3420 and 3424 = 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 3424

3424 = 2 x 2 x 2 x 2 x 2 x 107

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 3424 is 4