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 6354, 6362 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6354 and 6362 is 2.
GCF(6354,6362) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6354
2 | 6354 |
3 | 3177 |
3 | 1059 |
353 | 353 |
1 |
Prime factors of 6354 are 2,3,353. Prime factorization of 6354 in exponential form is:
6354 = 21×32×3531
Prime Factorization of 6362
2 | 6362 |
3181 | 3181 |
1 |
Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:
6362 = 21×31811
∴ So by taking common prime factors GCF of 6354 and 6362 is 2
Factors of 6354
List of positive integer factors of 6354 that divides 6354 without a remainder.
1,2,3,6,9,18,353,706,1059,2118,3177,6354
Factors of 6362
List of positive integer factors of 6362 that divides 6362 without a remainder.
1,2,3181,6362
Greatest Common Factor
We found the factors and prime factorization of 6354 and 6362. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6362 is 2.
Also check out the Least Common Multiple of 6354 and 6362
(i) The GCF of 6354 and 6362 is associative
GCF of 6354 and 6362 = GCF of 6362 and 6354
1. What is the GCF of 6354 and 6362?
Answer: GCF of 6354 and 6362 is 2.
2. What are the Factors of 6354?
Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.
3. What are the Factors of 6362?
Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.
4. How to Find the GCF of 6354 and 6362?
Answer:
Greatest Common Factor of 6354 and 6362 = 2
Step 1: Find the prime factorization of 6354
6354 = 2 x 3 x 3 x 353
Step 2: Find the prime factorization of 6362
6362 = 2 x 3181
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 6354 and 6362 is 2