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 2198, 2202 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2198 and 2202 is 2.
GCF(2198,2202) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2198
2 | 2198 |
7 | 1099 |
157 | 157 |
1 |
Prime factors of 2198 are 2,7,157. Prime factorization of 2198 in exponential form is:
2198 = 21×71×1571
Prime Factorization of 2202
2 | 2202 |
3 | 1101 |
367 | 367 |
1 |
Prime factors of 2202 are 2,3,367. Prime factorization of 2202 in exponential form is:
2202 = 21×31×3671
∴ So by taking common prime factors GCF of 2198 and 2202 is 2
Factors of 2198
List of positive integer factors of 2198 that divides 2198 without a remainder.
1,2,7,14,157,314,1099,2198
Factors of 2202
List of positive integer factors of 2202 that divides 2202 without a remainder.
1,2,3,6,367,734,1101,2202
Greatest Common Factor
We found the factors and prime factorization of 2198 and 2202. The biggest common factor number is the GCF number.
So the greatest common factor 2198 and 2202 is 2.
Also check out the Least Common Multiple of 2198 and 2202
(i) The GCF of 2198 and 2202 is associative
GCF of 2198 and 2202 = GCF of 2202 and 2198
1. What is the GCF of 2198 and 2202?
Answer: GCF of 2198 and 2202 is 2.
2. What are the Factors of 2198?
Answer: Factors of 2198 are 1, 2, 7, 14, 157, 314, 1099, 2198. There are 8 integers that are factors of 2198. The greatest factor of 2198 is 2198.
3. What are the Factors of 2202?
Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.
4. How to Find the GCF of 2198 and 2202?
Answer:
Greatest Common Factor of 2198 and 2202 = 2
Step 1: Find the prime factorization of 2198
2198 = 2 x 7 x 157
Step 2: Find the prime factorization of 2202
2202 = 2 x 3 x 367
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 2198 and 2202 is 2