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 8937, 8942 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8937 and 8942 is 1.
GCF(8937,8942) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8937
3 | 8937 |
3 | 2979 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:
8937 = 33×3311
Prime Factorization of 8942
2 | 8942 |
17 | 4471 |
263 | 263 |
1 |
Prime factors of 8942 are 2,17,263. Prime factorization of 8942 in exponential form is:
8942 = 21×171×2631
∴ So by taking common prime factors GCF of 8937 and 8942 is 1
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Factors of 8942
List of positive integer factors of 8942 that divides 8942 without a remainder.
1,2,17,34,263,526,4471,8942
Greatest Common Factor
We found the factors and prime factorization of 8937 and 8942. The biggest common factor number is the GCF number.
So the greatest common factor 8937 and 8942 is 1.
Also check out the Least Common Multiple of 8937 and 8942
(i) The GCF of 8937 and 8942 is associative
GCF of 8937 and 8942 = GCF of 8942 and 8937
1. What is the GCF of 8937 and 8942?
Answer: GCF of 8937 and 8942 is 1.
2. What are the Factors of 8937?
Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.
3. What are the Factors of 8942?
Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.
4. How to Find the GCF of 8937 and 8942?
Answer:
Greatest Common Factor of 8937 and 8942 = 1
Step 1: Find the prime factorization of 8937
8937 = 3 x 3 x 3 x 331
Step 2: Find the prime factorization of 8942
8942 = 2 x 17 x 263
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 8937 and 8942 is 1