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 7194, 7202 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7194 and 7202 is 2.
GCF(7194,7202) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7194
2 | 7194 |
3 | 3597 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 7194 are 2,3,11,109. Prime factorization of 7194 in exponential form is:
7194 = 21×31×111×1091
Prime Factorization of 7202
2 | 7202 |
13 | 3601 |
277 | 277 |
1 |
Prime factors of 7202 are 2,13,277. Prime factorization of 7202 in exponential form is:
7202 = 21×131×2771
∴ So by taking common prime factors GCF of 7194 and 7202 is 2
Factors of 7194
List of positive integer factors of 7194 that divides 7194 without a remainder.
1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Factors of 7202
List of positive integer factors of 7202 that divides 7202 without a remainder.
1,2,13,26,277,554,3601,7202
Greatest Common Factor
We found the factors and prime factorization of 7194 and 7202. The biggest common factor number is the GCF number.
So the greatest common factor 7194 and 7202 is 2.
Also check out the Least Common Multiple of 7194 and 7202
(i) The GCF of 7194 and 7202 is associative
GCF of 7194 and 7202 = GCF of 7202 and 7194
1. What is the GCF of 7194 and 7202?
Answer: GCF of 7194 and 7202 is 2.
2. What are the Factors of 7194?
Answer: Factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194. There are 16 integers that are factors of 7194. The greatest factor of 7194 is 7194.
3. What are the Factors of 7202?
Answer: Factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202. There are 8 integers that are factors of 7202. The greatest factor of 7202 is 7202.
4. How to Find the GCF of 7194 and 7202?
Answer:
Greatest Common Factor of 7194 and 7202 = 2
Step 1: Find the prime factorization of 7194
7194 = 2 x 3 x 11 x 109
Step 2: Find the prime factorization of 7202
7202 = 2 x 13 x 277
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 7194 and 7202 is 2