Greatest Common Factor of 4198 and 4202

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 4198, 4202 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4198 and 4202 is 2.

GCF(4198,4202) = 2

GCF of 4198 and 4202

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

GCF of:
and

Greatest Common Factor of 4198 and 4202

GCF of 4198 and 4202 is 2

Prime Factorization of 4198


2 4198
2099 2099
1

Prime factors of 4198 are 2,2099. Prime factorization of 4198 in exponential form is:

4198 = 21×20991

Prime Factorization of 4202


2 4202
11 2101
191 191
1

Prime factors of 4202 are 2,11,191. Prime factorization of 4202 in exponential form is:

4202 = 21×111×1911

∴ So by taking common prime factors GCF of 4198 and 4202 is 2

Greatest Common Factor of 4198 and 4202 by matching factors method

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1,2,2099,4198

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Greatest Common Factor

We found the factors and prime factorization of 4198 and 4202. The biggest common factor number is the GCF number.
So the greatest common factor 4198 and 4202 is 2.

Also check out the Least Common Multiple of 4198 and 4202

Properties of GCF 4198 and 4202

(i) The GCF of 4198 and 4202 is associative

GCF of 4198 and 4202 = GCF of 4202 and 4198

Related Greatest Common Factor of 4198

Related Greatest Common Factor of 4202

Frequently Asked Questions on GCF of 4198 and 4202

1. What is the GCF of 4198 and 4202?

Answer: GCF of 4198 and 4202 is 2.

2. What are the Factors of 4198?

Answer: Factors of 4198 are 1, 2, 2099, 4198. There are 4 integers that are factors of 4198. The greatest factor of 4198 is 4198.

3. What are the Factors of 4202?

Answer: Factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202. There are 8 integers that are factors of 4202. The greatest factor of 4202 is 4202.

4. How to Find the GCF of 4198 and 4202?

Answer:

Greatest Common Factor of 4198 and 4202 = 2

Step 1: Find the prime factorization of 4198

4198 = 2 x 2099

Step 2: Find the prime factorization of 4202

4202 = 2 x 11 x 191

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4198 and 4202 is 2