Greatest Common Factor of 4196 and 4200

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 4196, 4200 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4196 and 4200 is 4.

GCF(4196,4200) = 4

GCF of 4196 and 4200

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

GCF of:
and

Greatest Common Factor of 4196 and 4200

GCF of 4196 and 4200 is 4

Prime Factorization of 4196


2 4196
2 2098
1049 1049
1

Prime factors of 4196 are 2,1049. Prime factorization of 4196 in exponential form is:

4196 = 22×10491

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

∴ So by taking common prime factors GCF of 4196 and 4200 is 4

Greatest Common Factor of 4196 and 4200 by matching factors method

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1,2,4,1049,2098,4196

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

Greatest Common Factor

We found the factors and prime factorization of 4196 and 4200. The biggest common factor number is the GCF number.
So the greatest common factor 4196 and 4200 is 4.

Also check out the Least Common Multiple of 4196 and 4200

Properties of GCF 4196 and 4200

(i) The GCF of 4196 and 4200 is associative

GCF of 4196 and 4200 = GCF of 4200 and 4196

Related Greatest Common Factor of 4196

Related Greatest Common Factor of 4200

Frequently Asked Questions on GCF of 4196 and 4200

1. What is the GCF of 4196 and 4200?

Answer: GCF of 4196 and 4200 is 4.

2. What are the Factors of 4196?

Answer: Factors of 4196 are 1, 2, 4, 1049, 2098, 4196. There are 6 integers that are factors of 4196. The greatest factor of 4196 is 4196.

3. 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.

4. How to Find the GCF of 4196 and 4200?

Answer:

Greatest Common Factor of 4196 and 4200 = 4

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4200

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

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 4196 and 4200 is 4