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 6985, 6988 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6985 and 6988 is 1.
GCF(6985,6988) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6985
5 | 6985 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 6985 are 5,11,127. Prime factorization of 6985 in exponential form is:
6985 = 51×111×1271
Prime Factorization of 6988
2 | 6988 |
2 | 3494 |
1747 | 1747 |
1 |
Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:
6988 = 22×17471
∴ So by taking common prime factors GCF of 6985 and 6988 is 1
Factors of 6985
List of positive integer factors of 6985 that divides 6985 without a remainder.
1,5,11,55,127,635,1397,6985
Factors of 6988
List of positive integer factors of 6988 that divides 6988 without a remainder.
1,2,4,1747,3494,6988
Greatest Common Factor
We found the factors and prime factorization of 6985 and 6988. The biggest common factor number is the GCF number.
So the greatest common factor 6985 and 6988 is 1.
Also check out the Least Common Multiple of 6985 and 6988
(i) The GCF of 6985 and 6988 is associative
GCF of 6985 and 6988 = GCF of 6988 and 6985
1. What is the GCF of 6985 and 6988?
Answer: GCF of 6985 and 6988 is 1.
2. What are the Factors of 6985?
Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.
3. What are the Factors of 6988?
Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.
4. How to Find the GCF of 6985 and 6988?
Answer:
Greatest Common Factor of 6985 and 6988 = 1
Step 1: Find the prime factorization of 6985
6985 = 5 x 11 x 127
Step 2: Find the prime factorization of 6988
6988 = 2 x 2 x 1747
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 6985 and 6988 is 1