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 952, 960 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 952 and 960 is 8.
GCF(952,960) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 952
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 952 are 2,7,17. Prime factorization of 952 in exponential form is:
952 = 23×71×171
Prime Factorization of 960
2 | 960 |
2 | 480 |
2 | 240 |
2 | 120 |
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 960 are 2,3,5. Prime factorization of 960 in exponential form is:
960 = 26×31×51
∴ So by taking common prime factors GCF of 952 and 960 is 8
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors and prime factorization of 952 and 960. The biggest common factor number is the GCF number.
So the greatest common factor 952 and 960 is 8.
Also check out the Least Common Multiple of 952 and 960
(i) The GCF of 952 and 960 is associative
GCF of 952 and 960 = GCF of 960 and 952
1. What is the GCF of 952 and 960?
Answer: GCF of 952 and 960 is 8.
2. What are the Factors of 952?
Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.
3. What are the Factors of 960?
Answer: Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. There are 28 integers that are factors of 960. The greatest factor of 960 is 960.
4. How to Find the GCF of 952 and 960?
Answer:
Greatest Common Factor of 952 and 960 = 8
Step 1: Find the prime factorization of 952
952 = 2 x 2 x 2 x 7 x 17
Step 2: Find the prime factorization of 960
960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 952 and 960 is 8