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 5938, 5945 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5938 and 5945 is 1.
GCF(5938,5945) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5938
2 | 5938 |
2969 | 2969 |
1 |
Prime factors of 5938 are 2,2969. Prime factorization of 5938 in exponential form is:
5938 = 21×29691
Prime Factorization of 5945
5 | 5945 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 5945 are 5,29,41. Prime factorization of 5945 in exponential form is:
5945 = 51×291×411
∴ So by taking common prime factors GCF of 5938 and 5945 is 1
Factors of 5938
List of positive integer factors of 5938 that divides 5938 without a remainder.
1,2,2969,5938
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1,5,29,41,145,205,1189,5945
Greatest Common Factor
We found the factors and prime factorization of 5938 and 5945. The biggest common factor number is the GCF number.
So the greatest common factor 5938 and 5945 is 1.
Also check out the Least Common Multiple of 5938 and 5945
(i) The GCF of 5938 and 5945 is associative
GCF of 5938 and 5945 = GCF of 5945 and 5938
1. What is the GCF of 5938 and 5945?
Answer: GCF of 5938 and 5945 is 1.
2. What are the Factors of 5938?
Answer: Factors of 5938 are 1, 2, 2969, 5938. There are 4 integers that are factors of 5938. The greatest factor of 5938 is 5938.
3. What are the Factors of 5945?
Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.
4. How to Find the GCF of 5938 and 5945?
Answer:
Greatest Common Factor of 5938 and 5945 = 1
Step 1: Find the prime factorization of 5938
5938 = 2 x 2969
Step 2: Find the prime factorization of 5945
5945 = 5 x 29 x 41
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 5938 and 5945 is 1