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 6352, 6358 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6352 and 6358 is 2.
GCF(6352,6358) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6352
2 | 6352 |
2 | 3176 |
2 | 1588 |
2 | 794 |
397 | 397 |
1 |
Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:
6352 = 24×3971
Prime Factorization of 6358
2 | 6358 |
11 | 3179 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 6358 are 2,11,17. Prime factorization of 6358 in exponential form is:
6358 = 21×111×172
∴ So by taking common prime factors GCF of 6352 and 6358 is 2
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Factors of 6358
List of positive integer factors of 6358 that divides 6358 without a remainder.
1,2,11,17,22,34,187,289,374,578,3179,6358
Greatest Common Factor
We found the factors and prime factorization of 6352 and 6358. The biggest common factor number is the GCF number.
So the greatest common factor 6352 and 6358 is 2.
Also check out the Least Common Multiple of 6352 and 6358
(i) The GCF of 6352 and 6358 is associative
GCF of 6352 and 6358 = GCF of 6358 and 6352
1. What is the GCF of 6352 and 6358?
Answer: GCF of 6352 and 6358 is 2.
2. What are the Factors of 6352?
Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.
3. What are the Factors of 6358?
Answer: Factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358. There are 12 integers that are factors of 6358. The greatest factor of 6358 is 6358.
4. How to Find the GCF of 6352 and 6358?
Answer:
Greatest Common Factor of 6352 and 6358 = 2
Step 1: Find the prime factorization of 6352
6352 = 2 x 2 x 2 x 2 x 397
Step 2: Find the prime factorization of 6358
6358 = 2 x 11 x 17 x 17
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 6352 and 6358 is 2