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 362, 366 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 362 and 366 is 2.
GCF(362,366) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 362
2 | 362 |
181 | 181 |
1 |
Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:
362 = 21×1811
Prime Factorization of 366
2 | 366 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 366 are 2,3,61. Prime factorization of 366 in exponential form is:
366 = 21×31×611
∴ So by taking common prime factors GCF of 362 and 366 is 2
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors and prime factorization of 362 and 366. The biggest common factor number is the GCF number.
So the greatest common factor 362 and 366 is 2.
Also check out the Least Common Multiple of 362 and 366
(i) The GCF of 362 and 366 is associative
GCF of 362 and 366 = GCF of 366 and 362
1. What is the GCF of 362 and 366?
Answer: GCF of 362 and 366 is 2.
2. What are the Factors of 362?
Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.
3. What are the Factors of 366?
Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.
4. How to Find the GCF of 362 and 366?
Answer:
Greatest Common Factor of 362 and 366 = 2
Step 1: Find the prime factorization of 362
362 = 2 x 181
Step 2: Find the prime factorization of 366
366 = 2 x 3 x 61
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 362 and 366 is 2