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 3951, 3957 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3951 and 3957 is 3.
GCF(3951,3957) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3951
3 | 3951 |
3 | 1317 |
439 | 439 |
1 |
Prime factors of 3951 are 3,439. Prime factorization of 3951 in exponential form is:
3951 = 32×4391
Prime Factorization of 3957
3 | 3957 |
1319 | 1319 |
1 |
Prime factors of 3957 are 3,1319. Prime factorization of 3957 in exponential form is:
3957 = 31×13191
∴ So by taking common prime factors GCF of 3951 and 3957 is 3
Factors of 3951
List of positive integer factors of 3951 that divides 3951 without a remainder.
1,3,9,439,1317,3951
Factors of 3957
List of positive integer factors of 3957 that divides 3957 without a remainder.
1,3,1319,3957
Greatest Common Factor
We found the factors and prime factorization of 3951 and 3957. The biggest common factor number is the GCF number.
So the greatest common factor 3951 and 3957 is 3.
Also check out the Least Common Multiple of 3951 and 3957
(i) The GCF of 3951 and 3957 is associative
GCF of 3951 and 3957 = GCF of 3957 and 3951
1. What is the GCF of 3951 and 3957?
Answer: GCF of 3951 and 3957 is 3.
2. What are the Factors of 3951?
Answer: Factors of 3951 are 1, 3, 9, 439, 1317, 3951. There are 6 integers that are factors of 3951. The greatest factor of 3951 is 3951.
3. What are the Factors of 3957?
Answer: Factors of 3957 are 1, 3, 1319, 3957. There are 4 integers that are factors of 3957. The greatest factor of 3957 is 3957.
4. How to Find the GCF of 3951 and 3957?
Answer:
Greatest Common Factor of 3951 and 3957 = 3
Step 1: Find the prime factorization of 3951
3951 = 3 x 3 x 439
Step 2: Find the prime factorization of 3957
3957 = 3 x 1319
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3951 and 3957 is 3