Greatest Common Factor of 7198 and 7206

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 7198, 7206 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7198 and 7206 is 2.

GCF(7198,7206) = 2

GCF of 7198 and 7206

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

GCF of:
and

Greatest Common Factor of 7198 and 7206

GCF of 7198 and 7206 is 2

Prime Factorization of 7198


2 7198
59 3599
61 61
1

Prime factors of 7198 are 2,59,61. Prime factorization of 7198 in exponential form is:

7198 = 21×591×611

Prime Factorization of 7206


2 7206
3 3603
1201 1201
1

Prime factors of 7206 are 2,3,1201. Prime factorization of 7206 in exponential form is:

7206 = 21×31×12011

∴ So by taking common prime factors GCF of 7198 and 7206 is 2

Greatest Common Factor of 7198 and 7206 by matching factors method

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1,2,59,61,118,122,3599,7198

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1,2,3,6,1201,2402,3603,7206

Greatest Common Factor

We found the factors and prime factorization of 7198 and 7206. The biggest common factor number is the GCF number.
So the greatest common factor 7198 and 7206 is 2.

Also check out the Least Common Multiple of 7198 and 7206

Properties of GCF 7198 and 7206

(i) The GCF of 7198 and 7206 is associative

GCF of 7198 and 7206 = GCF of 7206 and 7198

Related Greatest Common Factor of 7198

Related Greatest Common Factor of 7206

Frequently Asked Questions on GCF of 7198 and 7206

1. What is the GCF of 7198 and 7206?

Answer: GCF of 7198 and 7206 is 2.

2. What are the Factors of 7198?

Answer: Factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198. There are 8 integers that are factors of 7198. The greatest factor of 7198 is 7198.

3. What are the Factors of 7206?

Answer: Factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206. There are 8 integers that are factors of 7206. The greatest factor of 7206 is 7206.

4. How to Find the GCF of 7198 and 7206?

Answer:

Greatest Common Factor of 7198 and 7206 = 2

Step 1: Find the prime factorization of 7198

7198 = 2 x 59 x 61

Step 2: Find the prime factorization of 7206

7206 = 2 x 3 x 1201

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 7198 and 7206 is 2