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, 7948 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7942 and 7948 is 2.
GCF(7942,7948) = 2
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 7948
2 | 7948 |
2 | 3974 |
1987 | 1987 |
1 |
Prime factors of 7948 are 2,1987. Prime factorization of 7948 in exponential form is:
7948 = 22×19871
∴ So by taking common prime factors GCF of 7942 and 7948 is 2
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 7948
List of positive integer factors of 7948 that divides 7948 without a remainder.
1,2,4,1987,3974,7948
Greatest Common Factor
We found the factors and prime factorization of 7942 and 7948. The biggest common factor number is the GCF number.
So the greatest common factor 7942 and 7948 is 2.
Also check out the Least Common Multiple of 7942 and 7948
(i) The GCF of 7942 and 7948 is associative
GCF of 7942 and 7948 = GCF of 7948 and 7942
1. What is the GCF of 7942 and 7948?
Answer: GCF of 7942 and 7948 is 2.
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 7948?
Answer: Factors of 7948 are 1, 2, 4, 1987, 3974, 7948. There are 6 integers that are factors of 7948. The greatest factor of 7948 is 7948.
4. How to Find the GCF of 7942 and 7948?
Answer:
Greatest Common Factor of 7942 and 7948 = 2
Step 1: Find the prime factorization of 7942
7942 = 2 x 11 x 19 x 19
Step 2: Find the prime factorization of 7948
7948 = 2 x 2 x 1987
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7942 and 7948 is 2