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 4197, 4198 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4197 and 4198 is 1.
GCF(4197,4198) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4197
3 | 4197 |
1399 | 1399 |
1 |
Prime factors of 4197 are 3,1399. Prime factorization of 4197 in exponential form is:
4197 = 31×13991
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
∴ So by taking common prime factors GCF of 4197 and 4198 is 1
Factors of 4197
List of positive integer factors of 4197 that divides 4197 without a remainder.
1,3,1399,4197
Factors of 4198
List of positive integer factors of 4198 that divides 4198 without a remainder.
1,2,2099,4198
Greatest Common Factor
We found the factors and prime factorization of 4197 and 4198. The biggest common factor number is the GCF number.
So the greatest common factor 4197 and 4198 is 1.
Also check out the Least Common Multiple of 4197 and 4198
(i) The GCF of 4197 and 4198 is associative
GCF of 4197 and 4198 = GCF of 4198 and 4197
1. What is the GCF of 4197 and 4198?
Answer: GCF of 4197 and 4198 is 1.
2. What are the Factors of 4197?
Answer: Factors of 4197 are 1, 3, 1399, 4197. There are 4 integers that are factors of 4197. The greatest factor of 4197 is 4197.
3. 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.
4. How to Find the GCF of 4197 and 4198?
Answer:
Greatest Common Factor of 4197 and 4198 = 1
Step 1: Find the prime factorization of 4197
4197 = 3 x 1399
Step 2: Find the prime factorization of 4198
4198 = 2 x 2099
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 4197 and 4198 is 1