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 956, 958 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 956 and 958 is 2.
GCF(956,958) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 956
2 | 956 |
2 | 478 |
239 | 239 |
1 |
Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:
956 = 22×2391
Prime Factorization of 958
2 | 958 |
479 | 479 |
1 |
Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:
958 = 21×4791
∴ So by taking common prime factors GCF of 956 and 958 is 2
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors and prime factorization of 956 and 958. The biggest common factor number is the GCF number.
So the greatest common factor 956 and 958 is 2.
Also check out the Least Common Multiple of 956 and 958
(i) The GCF of 956 and 958 is associative
GCF of 956 and 958 = GCF of 958 and 956
1. What is the GCF of 956 and 958?
Answer: GCF of 956 and 958 is 2.
2. What are the Factors of 956?
Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.
3. What are the Factors of 958?
Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.
4. How to Find the GCF of 956 and 958?
Answer:
Greatest Common Factor of 956 and 958 = 2
Step 1: Find the prime factorization of 956
956 = 2 x 2 x 239
Step 2: Find the prime factorization of 958
958 = 2 x 479
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 956 and 958 is 2