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 935, 941 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 935 and 941 is 1.
GCF(935,941) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 935
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 935 are 5,11,17. Prime factorization of 935 in exponential form is:
935 = 51×111×171
Prime Factorization of 941
941 | 941 |
1 |
Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:
941 = 9411
∴ So by taking common prime factors GCF of 935 and 941 is 1
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors and prime factorization of 935 and 941. The biggest common factor number is the GCF number.
So the greatest common factor 935 and 941 is 1.
Also check out the Least Common Multiple of 935 and 941
(i) The GCF of 935 and 941 is associative
GCF of 935 and 941 = GCF of 941 and 935
1. What is the GCF of 935 and 941?
Answer: GCF of 935 and 941 is 1.
2. What are the Factors of 935?
Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.
3. What are the Factors of 941?
Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.
4. How to Find the GCF of 935 and 941?
Answer:
Greatest Common Factor of 935 and 941 = 1
Step 1: Find the prime factorization of 935
935 = 5 x 11 x 17
Step 2: Find the prime factorization of 941
941 = 941
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 935 and 941 is 1