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 962, 966 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 962 and 966 is 2.
GCF(962,966) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 962
2 | 962 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 962 are 2,13,37. Prime factorization of 962 in exponential form is:
962 = 21×131×371
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 962 and 966 is 2
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
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 962 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 962 and 966 is 2.
Also check out the Least Common Multiple of 962 and 966
(i) The GCF of 962 and 966 is associative
GCF of 962 and 966 = GCF of 966 and 962
1. What is the GCF of 962 and 966?
Answer: GCF of 962 and 966 is 2.
2. What are the Factors of 962?
Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.
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 962 and 966?
Answer:
Greatest Common Factor of 962 and 966 = 2
Step 1: Find the prime factorization of 962
962 = 2 x 13 x 37
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 = 2
Step 4: Therefore, the greatest common factor of 962 and 966 is 2