Greatest Common Factor of 34200 and 34206

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 34200, 34206 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34200 and 34206 is 6.

GCF(34200,34206) = 6

GCF of 34200 and 34206

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

GCF of:
and

Greatest Common Factor of 34200 and 34206

GCF of 34200 and 34206 is 6

Prime Factorization of 34200


2 34200
2 17100
2 8550
3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 34200 are 2,3,5,19. Prime factorization of 34200 in exponential form is:

34200 = 23×32×52×191

Prime Factorization of 34206


2 34206
3 17103
5701 5701
1

Prime factors of 34206 are 2,3,5701. Prime factorization of 34206 in exponential form is:

34206 = 21×31×57011

∴ So by taking common prime factors GCF of 34200 and 34206 is 6

Greatest Common Factor of 34200 and 34206 by matching factors method

Factors of 34200

List of positive integer factors of 34200 that divides 34200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,25,30,36,38,40,45,50,57,60,72,75,76,90,95,100,114,120,150,152,171,180,190,200,225,228,285,300,342,360,380,450,456,475,570,600,684,760,855,900,950,1140,1368,1425,1710,1800,1900,2280,2850,3420,3800,4275,5700,6840,8550,11400,17100,34200

Factors of 34206

List of positive integer factors of 34206 that divides 34206 without a remainder.

1,2,3,6,5701,11402,17103,34206

Greatest Common Factor

We found the factors and prime factorization of 34200 and 34206. The biggest common factor number is the GCF number.
So the greatest common factor 34200 and 34206 is 6.

Also check out the Least Common Multiple of 34200 and 34206

Properties of GCF 34200 and 34206

(i) The GCF of 34200 and 34206 is associative

GCF of 34200 and 34206 = GCF of 34206 and 34200

Related Greatest Common Factor of 34200

Related Greatest Common Factor of 34206

Frequently Asked Questions on GCF of 34200 and 34206

1. What is the GCF of 34200 and 34206?

Answer: GCF of 34200 and 34206 is 6.

2. What are the Factors of 34200?

Answer: Factors of 34200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 25, 30, 36, 38, 40, 45, 50, 57, 60, 72, 75, 76, 90, 95, 100, 114, 120, 150, 152, 171, 180, 190, 200, 225, 228, 285, 300, 342, 360, 380, 450, 456, 475, 570, 600, 684, 760, 855, 900, 950, 1140, 1368, 1425, 1710, 1800, 1900, 2280, 2850, 3420, 3800, 4275, 5700, 6840, 8550, 11400, 17100, 34200. There are 72 integers that are factors of 34200. The greatest factor of 34200 is 34200.

3. What are the Factors of 34206?

Answer: Factors of 34206 are 1, 2, 3, 6, 5701, 11402, 17103, 34206. There are 8 integers that are factors of 34206. The greatest factor of 34206 is 34206.

4. How to Find the GCF of 34200 and 34206?

Answer:

Greatest Common Factor of 34200 and 34206 = 6

Step 1: Find the prime factorization of 34200

34200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 34206

34206 = 2 x 3 x 5701

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 34200 and 34206 is 6