Greatest Common Factor of 34200 and 34204

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, 34204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34200 and 34204 is 4.

GCF(34200,34204) = 4

GCF of 34200 and 34204

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

GCF of:
and

Greatest Common Factor of 34200 and 34204

GCF of 34200 and 34204 is 4

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 34204


2 34204
2 17102
17 8551
503 503
1

Prime factors of 34204 are 2,17,503. Prime factorization of 34204 in exponential form is:

34204 = 22×171×5031

∴ So by taking common prime factors GCF of 34200 and 34204 is 4

Greatest Common Factor of 34200 and 34204 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 34204

List of positive integer factors of 34204 that divides 34204 without a remainder.

1,2,4,17,34,68,503,1006,2012,8551,17102,34204

Greatest Common Factor

We found the factors and prime factorization of 34200 and 34204. The biggest common factor number is the GCF number.
So the greatest common factor 34200 and 34204 is 4.

Also check out the Least Common Multiple of 34200 and 34204

Properties of GCF 34200 and 34204

(i) The GCF of 34200 and 34204 is associative

GCF of 34200 and 34204 = GCF of 34204 and 34200

Related Greatest Common Factor of 34200

Related Greatest Common Factor of 34204

Frequently Asked Questions on GCF of 34200 and 34204

1. What is the GCF of 34200 and 34204?

Answer: GCF of 34200 and 34204 is 4.

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 34204?

Answer: Factors of 34204 are 1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204. There are 12 integers that are factors of 34204. The greatest factor of 34204 is 34204.

4. How to Find the GCF of 34200 and 34204?

Answer:

Greatest Common Factor of 34200 and 34204 = 4

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 34204

34204 = 2 x 2 x 17 x 503

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 34200 and 34204 is 4