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 9198, 9202 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9198 and 9202 is 2.
GCF(9198,9202) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9198
2 | 9198 |
3 | 4599 |
3 | 1533 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 9198 are 2,3,7,73. Prime factorization of 9198 in exponential form is:
9198 = 21×32×71×731
Prime Factorization of 9202
2 | 9202 |
43 | 4601 |
107 | 107 |
1 |
Prime factors of 9202 are 2,43,107. Prime factorization of 9202 in exponential form is:
9202 = 21×431×1071
∴ So by taking common prime factors GCF of 9198 and 9202 is 2
Factors of 9198
List of positive integer factors of 9198 that divides 9198 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Factors of 9202
List of positive integer factors of 9202 that divides 9202 without a remainder.
1,2,43,86,107,214,4601,9202
Greatest Common Factor
We found the factors and prime factorization of 9198 and 9202. The biggest common factor number is the GCF number.
So the greatest common factor 9198 and 9202 is 2.
Also check out the Least Common Multiple of 9198 and 9202
(i) The GCF of 9198 and 9202 is associative
GCF of 9198 and 9202 = GCF of 9202 and 9198
1. What is the GCF of 9198 and 9202?
Answer: GCF of 9198 and 9202 is 2.
2. What are the Factors of 9198?
Answer: Factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198. There are 24 integers that are factors of 9198. The greatest factor of 9198 is 9198.
3. What are the Factors of 9202?
Answer: Factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202. There are 8 integers that are factors of 9202. The greatest factor of 9202 is 9202.
4. How to Find the GCF of 9198 and 9202?
Answer:
Greatest Common Factor of 9198 and 9202 = 2
Step 1: Find the prime factorization of 9198
9198 = 2 x 3 x 3 x 7 x 73
Step 2: Find the prime factorization of 9202
9202 = 2 x 43 x 107
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 9198 and 9202 is 2