Greatest Common Factor of 1198 and 1203

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 1198, 1203 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1198 and 1203 is 1.

GCF(1198,1203) = 1

GCF of 1198 and 1203

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

GCF of:
and

Greatest Common Factor of 1198 and 1203

GCF of 1198 and 1203 is 1

Prime Factorization of 1198


2 1198
599 599
1

Prime factors of 1198 are 2,599. Prime factorization of 1198 in exponential form is:

1198 = 21×5991

Prime Factorization of 1203


3 1203
401 401
1

Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:

1203 = 31×4011

∴ So by taking common prime factors GCF of 1198 and 1203 is 1

Greatest Common Factor of 1198 and 1203 by matching factors method

Factors of 1198

List of positive integer factors of 1198 that divides 1198 without a remainder.

1,2,599,1198

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1,3,401,1203

Greatest Common Factor

We found the factors and prime factorization of 1198 and 1203. The biggest common factor number is the GCF number.
So the greatest common factor 1198 and 1203 is 1.

Also check out the Least Common Multiple of 1198 and 1203

Properties of GCF 1198 and 1203

(i) The GCF of 1198 and 1203 is associative

GCF of 1198 and 1203 = GCF of 1203 and 1198

Related Greatest Common Factor of 1198

Related Greatest Common Factor of 1203

Frequently Asked Questions on GCF of 1198 and 1203

1. What is the GCF of 1198 and 1203?

Answer: GCF of 1198 and 1203 is 1.

2. What are the Factors of 1198?

Answer: Factors of 1198 are 1, 2, 599, 1198. There are 4 integers that are factors of 1198. The greatest factor of 1198 is 1198.

3. What are the Factors of 1203?

Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.

4. How to Find the GCF of 1198 and 1203?

Answer:

Greatest Common Factor of 1198 and 1203 = 1

Step 1: Find the prime factorization of 1198

1198 = 2 x 599

Step 2: Find the prime factorization of 1203

1203 = 3 x 401

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1198 and 1203 is 1