Greatest Common Factor of 35200 and 35204

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 35200, 35204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35200 and 35204 is 4.

GCF(35200,35204) = 4

GCF of 35200 and 35204

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

GCF of:
and

Greatest Common Factor of 35200 and 35204

GCF of 35200 and 35204 is 4

Prime Factorization of 35200


2 35200
2 17600
2 8800
2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 35200 are 2,5,11. Prime factorization of 35200 in exponential form is:

35200 = 27×52×111

Prime Factorization of 35204


2 35204
2 17602
13 8801
677 677
1

Prime factors of 35204 are 2,13,677. Prime factorization of 35204 in exponential form is:

35204 = 22×131×6771

∴ So by taking common prime factors GCF of 35200 and 35204 is 4

Greatest Common Factor of 35200 and 35204 by matching factors method

Factors of 35200

List of positive integer factors of 35200 that divides 35200 without a remainder.

1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,64,80,88,100,110,128,160,176,200,220,275,320,352,400,440,550,640,704,800,880,1100,1408,1600,1760,2200,3200,3520,4400,7040,8800,17600,35200

Factors of 35204

List of positive integer factors of 35204 that divides 35204 without a remainder.

1,2,4,13,26,52,677,1354,2708,8801,17602,35204

Greatest Common Factor

We found the factors and prime factorization of 35200 and 35204. The biggest common factor number is the GCF number.
So the greatest common factor 35200 and 35204 is 4.

Also check out the Least Common Multiple of 35200 and 35204

Properties of GCF 35200 and 35204

(i) The GCF of 35200 and 35204 is associative

GCF of 35200 and 35204 = GCF of 35204 and 35200

Related Greatest Common Factor of 35200

Related Greatest Common Factor of 35204

Frequently Asked Questions on GCF of 35200 and 35204

1. What is the GCF of 35200 and 35204?

Answer: GCF of 35200 and 35204 is 4.

2. What are the Factors of 35200?

Answer: Factors of 35200 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 128, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 640, 704, 800, 880, 1100, 1408, 1600, 1760, 2200, 3200, 3520, 4400, 7040, 8800, 17600, 35200. There are 48 integers that are factors of 35200. The greatest factor of 35200 is 35200.

3. What are the Factors of 35204?

Answer: Factors of 35204 are 1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204. There are 12 integers that are factors of 35204. The greatest factor of 35204 is 35204.

4. How to Find the GCF of 35200 and 35204?

Answer:

Greatest Common Factor of 35200 and 35204 = 4

Step 1: Find the prime factorization of 35200

35200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 35204

35204 = 2 x 2 x 13 x 677

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 35200 and 35204 is 4