Greatest Common Factor of 4200 and 4204

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 4200, 4204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4200 and 4204 is 4.

GCF(4200,4204) = 4

GCF of 4200 and 4204

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

GCF of:
and

Greatest Common Factor of 4200 and 4204

GCF of 4200 and 4204 is 4

Prime Factorization of 4200


2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 4200 are 2,3,5,7. Prime factorization of 4200 in exponential form is:

4200 = 23×31×52×71

Prime Factorization of 4204


2 4204
2 2102
1051 1051
1

Prime factors of 4204 are 2,1051. Prime factorization of 4204 in exponential form is:

4204 = 22×10511

∴ So by taking common prime factors GCF of 4200 and 4204 is 4

Greatest Common Factor of 4200 and 4204 by matching factors method

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Factors of 4204

List of positive integer factors of 4204 that divides 4204 without a remainder.

1,2,4,1051,2102,4204

Greatest Common Factor

We found the factors and prime factorization of 4200 and 4204. The biggest common factor number is the GCF number.
So the greatest common factor 4200 and 4204 is 4.

Also check out the Least Common Multiple of 4200 and 4204

Properties of GCF 4200 and 4204

(i) The GCF of 4200 and 4204 is associative

GCF of 4200 and 4204 = GCF of 4204 and 4200

Related Greatest Common Factor of 4200

Related Greatest Common Factor of 4204

Frequently Asked Questions on GCF of 4200 and 4204

1. What is the GCF of 4200 and 4204?

Answer: GCF of 4200 and 4204 is 4.

2. What are the Factors of 4200?

Answer: Factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. There are 48 integers that are factors of 4200. The greatest factor of 4200 is 4200.

3. What are the Factors of 4204?

Answer: Factors of 4204 are 1, 2, 4, 1051, 2102, 4204. There are 6 integers that are factors of 4204. The greatest factor of 4204 is 4204.

4. How to Find the GCF of 4200 and 4204?

Answer:

Greatest Common Factor of 4200 and 4204 = 4

Step 1: Find the prime factorization of 4200

4200 = 2 x 2 x 2 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 4204

4204 = 2 x 2 x 1051

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 4200 and 4204 is 4