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 3915, 3923 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3915 and 3923 is 1.
GCF(3915,3923) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3915
3 | 3915 |
3 | 1305 |
3 | 435 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 3915 are 3,5,29. Prime factorization of 3915 in exponential form is:
3915 = 33×51×291
Prime Factorization of 3923
3923 | 3923 |
1 |
Prime factors of 3923 are 3923. Prime factorization of 3923 in exponential form is:
3923 = 39231
∴ So by taking common prime factors GCF of 3915 and 3923 is 1
Factors of 3915
List of positive integer factors of 3915 that divides 3915 without a remainder.
1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915
Factors of 3923
List of positive integer factors of 3923 that divides 3923 without a remainder.
1,3923
Greatest Common Factor
We found the factors and prime factorization of 3915 and 3923. The biggest common factor number is the GCF number.
So the greatest common factor 3915 and 3923 is 1.
Also check out the Least Common Multiple of 3915 and 3923
(i) The GCF of 3915 and 3923 is associative
GCF of 3915 and 3923 = GCF of 3923 and 3915
1. What is the GCF of 3915 and 3923?
Answer: GCF of 3915 and 3923 is 1.
2. What are the Factors of 3915?
Answer: Factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915. There are 16 integers that are factors of 3915. The greatest factor of 3915 is 3915.
3. What are the Factors of 3923?
Answer: Factors of 3923 are 1, 3923. There are 2 integers that are factors of 3923. The greatest factor of 3923 is 3923.
4. How to Find the GCF of 3915 and 3923?
Answer:
Greatest Common Factor of 3915 and 3923 = 1
Step 1: Find the prime factorization of 3915
3915 = 3 x 3 x 3 x 5 x 29
Step 2: Find the prime factorization of 3923
3923 = 3923
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 3915 and 3923 is 1