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 6695, 6696 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6695 and 6696 is 1.
GCF(6695,6696) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6695
5 | 6695 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 6695 are 5,13,103. Prime factorization of 6695 in exponential form is:
6695 = 51×131×1031
Prime Factorization of 6696
2 | 6696 |
2 | 3348 |
2 | 1674 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 6696 are 2,3,31. Prime factorization of 6696 in exponential form is:
6696 = 23×33×311
∴ So by taking common prime factors GCF of 6695 and 6696 is 1
Factors of 6695
List of positive integer factors of 6695 that divides 6695 without a remainder.
1,5,13,65,103,515,1339,6695
Factors of 6696
List of positive integer factors of 6696 that divides 6696 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Greatest Common Factor
We found the factors and prime factorization of 6695 and 6696. The biggest common factor number is the GCF number.
So the greatest common factor 6695 and 6696 is 1.
Also check out the Least Common Multiple of 6695 and 6696
(i) The GCF of 6695 and 6696 is associative
GCF of 6695 and 6696 = GCF of 6696 and 6695
1. What is the GCF of 6695 and 6696?
Answer: GCF of 6695 and 6696 is 1.
2. What are the Factors of 6695?
Answer: Factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695. There are 8 integers that are factors of 6695. The greatest factor of 6695 is 6695.
3. What are the Factors of 6696?
Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.
4. How to Find the GCF of 6695 and 6696?
Answer:
Greatest Common Factor of 6695 and 6696 = 1
Step 1: Find the prime factorization of 6695
6695 = 5 x 13 x 103
Step 2: Find the prime factorization of 6696
6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31
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 6695 and 6696 is 1