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 963, 966 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 963 and 966 is 3.
GCF(963,966) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 963
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:
963 = 32×1071
Prime Factorization of 966
2 | 966 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 966 are 2,3,7,23. Prime factorization of 966 in exponential form is:
966 = 21×31×71×231
∴ So by taking common prime factors GCF of 963 and 966 is 3
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors and prime factorization of 963 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 963 and 966 is 3.
Also check out the Least Common Multiple of 963 and 966
(i) The GCF of 963 and 966 is associative
GCF of 963 and 966 = GCF of 966 and 963
1. What is the GCF of 963 and 966?
Answer: GCF of 963 and 966 is 3.
2. What are the Factors of 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
3. What are the Factors of 966?
Answer: Factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. There are 16 integers that are factors of 966. The greatest factor of 966 is 966.
4. How to Find the GCF of 963 and 966?
Answer:
Greatest Common Factor of 963 and 966 = 3
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 2: Find the prime factorization of 966
966 = 2 x 3 x 7 x 23
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 963 and 966 is 3