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 7943, 7947 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7943 and 7947 is 1.
GCF(7943,7947) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7943
13 | 7943 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 7943 are 13,47. Prime factorization of 7943 in exponential form is:
7943 = 132×471
Prime Factorization of 7947
3 | 7947 |
3 | 2649 |
883 | 883 |
1 |
Prime factors of 7947 are 3,883. Prime factorization of 7947 in exponential form is:
7947 = 32×8831
∴ So by taking common prime factors GCF of 7943 and 7947 is 1
Factors of 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1,13,47,169,611,7943
Factors of 7947
List of positive integer factors of 7947 that divides 7947 without a remainder.
1,3,9,883,2649,7947
Greatest Common Factor
We found the factors and prime factorization of 7943 and 7947. The biggest common factor number is the GCF number.
So the greatest common factor 7943 and 7947 is 1.
Also check out the Least Common Multiple of 7943 and 7947
(i) The GCF of 7943 and 7947 is associative
GCF of 7943 and 7947 = GCF of 7947 and 7943
1. What is the GCF of 7943 and 7947?
Answer: GCF of 7943 and 7947 is 1.
2. What are the Factors of 7943?
Answer: Factors of 7943 are 1, 13, 47, 169, 611, 7943. There are 6 integers that are factors of 7943. The greatest factor of 7943 is 7943.
3. What are the Factors of 7947?
Answer: Factors of 7947 are 1, 3, 9, 883, 2649, 7947. There are 6 integers that are factors of 7947. The greatest factor of 7947 is 7947.
4. How to Find the GCF of 7943 and 7947?
Answer:
Greatest Common Factor of 7943 and 7947 = 1
Step 1: Find the prime factorization of 7943
7943 = 13 x 13 x 47
Step 2: Find the prime factorization of 7947
7947 = 3 x 3 x 883
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 7943 and 7947 is 1