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 7382, 7386 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7382 and 7386 is 2.
GCF(7382,7386) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7382
2 | 7382 |
3691 | 3691 |
1 |
Prime factors of 7382 are 2,3691. Prime factorization of 7382 in exponential form is:
7382 = 21×36911
Prime Factorization of 7386
2 | 7386 |
3 | 3693 |
1231 | 1231 |
1 |
Prime factors of 7386 are 2,3,1231. Prime factorization of 7386 in exponential form is:
7386 = 21×31×12311
∴ So by taking common prime factors GCF of 7382 and 7386 is 2
Factors of 7382
List of positive integer factors of 7382 that divides 7382 without a remainder.
1,2,3691,7382
Factors of 7386
List of positive integer factors of 7386 that divides 7386 without a remainder.
1,2,3,6,1231,2462,3693,7386
Greatest Common Factor
We found the factors and prime factorization of 7382 and 7386. The biggest common factor number is the GCF number.
So the greatest common factor 7382 and 7386 is 2.
Also check out the Least Common Multiple of 7382 and 7386
(i) The GCF of 7382 and 7386 is associative
GCF of 7382 and 7386 = GCF of 7386 and 7382
1. What is the GCF of 7382 and 7386?
Answer: GCF of 7382 and 7386 is 2.
2. What are the Factors of 7382?
Answer: Factors of 7382 are 1, 2, 3691, 7382. There are 4 integers that are factors of 7382. The greatest factor of 7382 is 7382.
3. What are the Factors of 7386?
Answer: Factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386. There are 8 integers that are factors of 7386. The greatest factor of 7386 is 7386.
4. How to Find the GCF of 7382 and 7386?
Answer:
Greatest Common Factor of 7382 and 7386 = 2
Step 1: Find the prime factorization of 7382
7382 = 2 x 3691
Step 2: Find the prime factorization of 7386
7386 = 2 x 3 x 1231
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 7382 and 7386 is 2