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 6956, 6959 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6956 and 6959 is 1.
GCF(6956,6959) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6956
2 | 6956 |
2 | 3478 |
37 | 1739 |
47 | 47 |
1 |
Prime factors of 6956 are 2,37,47. Prime factorization of 6956 in exponential form is:
6956 = 22×371×471
Prime Factorization of 6959
6959 | 6959 |
1 |
Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:
6959 = 69591
∴ So by taking common prime factors GCF of 6956 and 6959 is 1
Factors of 6956
List of positive integer factors of 6956 that divides 6956 without a remainder.
1,2,4,37,47,74,94,148,188,1739,3478,6956
Factors of 6959
List of positive integer factors of 6959 that divides 6959 without a remainder.
1,6959
Greatest Common Factor
We found the factors and prime factorization of 6956 and 6959. The biggest common factor number is the GCF number.
So the greatest common factor 6956 and 6959 is 1.
Also check out the Least Common Multiple of 6956 and 6959
(i) The GCF of 6956 and 6959 is associative
GCF of 6956 and 6959 = GCF of 6959 and 6956
1. What is the GCF of 6956 and 6959?
Answer: GCF of 6956 and 6959 is 1.
2. What are the Factors of 6956?
Answer: Factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956. There are 12 integers that are factors of 6956. The greatest factor of 6956 is 6956.
3. What are the Factors of 6959?
Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.
4. How to Find the GCF of 6956 and 6959?
Answer:
Greatest Common Factor of 6956 and 6959 = 1
Step 1: Find the prime factorization of 6956
6956 = 2 x 2 x 37 x 47
Step 2: Find the prime factorization of 6959
6959 = 6959
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 6956 and 6959 is 1