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 7942, 7943 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7942 and 7943 is 1.
GCF(7942,7943) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7942
2 | 7942 |
11 | 3971 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 7942 are 2,11,19. Prime factorization of 7942 in exponential form is:
7942 = 21×111×192
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
∴ So by taking common prime factors GCF of 7942 and 7943 is 1
Factors of 7942
List of positive integer factors of 7942 that divides 7942 without a remainder.
1,2,11,19,22,38,209,361,418,722,3971,7942
Factors of 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1,13,47,169,611,7943
Greatest Common Factor
We found the factors and prime factorization of 7942 and 7943. The biggest common factor number is the GCF number.
So the greatest common factor 7942 and 7943 is 1.
Also check out the Least Common Multiple of 7942 and 7943
(i) The GCF of 7942 and 7943 is associative
GCF of 7942 and 7943 = GCF of 7943 and 7942
1. What is the GCF of 7942 and 7943?
Answer: GCF of 7942 and 7943 is 1.
2. What are the Factors of 7942?
Answer: Factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942. There are 12 integers that are factors of 7942. The greatest factor of 7942 is 7942.
3. 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.
4. How to Find the GCF of 7942 and 7943?
Answer:
Greatest Common Factor of 7942 and 7943 = 1
Step 1: Find the prime factorization of 7942
7942 = 2 x 11 x 19 x 19
Step 2: Find the prime factorization of 7943
7943 = 13 x 13 x 47
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 7942 and 7943 is 1