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 6637, 6642 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6637 and 6642 is 1.
GCF(6637,6642) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6637
6637 | 6637 |
1 |
Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:
6637 = 66371
Prime Factorization of 6642
2 | 6642 |
3 | 3321 |
3 | 1107 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 6642 are 2.Prime factorization of 6642 in exponential form is:
6642 = 21×34×411
∴ So by taking common prime factors GCF of 6637 and 6642 is 1
Factors of 6637
List of positive integer factors of 6637 that divides 6637 without a remainder.
1,6637
Factors of 6642
List of positive integer factors of 6642 that divides 6642 without a remainder.
1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642
Greatest Common Factor
We found the factors and prime factorization of 6637 and 6642. The biggest common factor number is the GCF number.
So the greatest common factor 6637 and 6642 is 1.
Also check out the Least Common Multiple of 6637 and 6642
(i) The GCF of 6637 and 6642 is associative
GCF of 6637 and 6642 = GCF of 6642 and 6637
1. What is the GCF of 6637 and 6642?
Answer: GCF of 6637 and 6642 is 1.
2. What are the Factors of 6637?
Answer: Factors of 6637 are 1, 6637. There are 2 integers that are factors of 6637. The greatest factor of 6637 is 6637.
3. What are the Factors of 6642?
Answer: Factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642. There are 20 integers that are factors of 6642. The greatest factor of 6642 is 6642.
4. How to Find the GCF of 6637 and 6642?
Answer:
Greatest Common Factor of 6637 and 6642 = 1
Step 1: Find the prime factorization of 6637
6637 = 6637
Step 2: Find the prime factorization of 6642
6642 = 2 x 3 x 3 x 3 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6637 and 6642 is 1