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 7958, 7964 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7958 and 7964 is 2.
GCF(7958,7964) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7958
2 | 7958 |
23 | 3979 |
173 | 173 |
1 |
Prime factors of 7958 are 2,23,173. Prime factorization of 7958 in exponential form is:
7958 = 21×231×1731
Prime Factorization of 7964
2 | 7964 |
2 | 3982 |
11 | 1991 |
181 | 181 |
1 |
Prime factors of 7964 are 2,11,181. Prime factorization of 7964 in exponential form is:
7964 = 22×111×1811
∴ So by taking common prime factors GCF of 7958 and 7964 is 2
Factors of 7958
List of positive integer factors of 7958 that divides 7958 without a remainder.
1,2,23,46,173,346,3979,7958
Factors of 7964
List of positive integer factors of 7964 that divides 7964 without a remainder.
1,2,4,11,22,44,181,362,724,1991,3982,7964
Greatest Common Factor
We found the factors and prime factorization of 7958 and 7964. The biggest common factor number is the GCF number.
So the greatest common factor 7958 and 7964 is 2.
Also check out the Least Common Multiple of 7958 and 7964
(i) The GCF of 7958 and 7964 is associative
GCF of 7958 and 7964 = GCF of 7964 and 7958
1. What is the GCF of 7958 and 7964?
Answer: GCF of 7958 and 7964 is 2.
2. What are the Factors of 7958?
Answer: Factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958. There are 8 integers that are factors of 7958. The greatest factor of 7958 is 7958.
3. What are the Factors of 7964?
Answer: Factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964. There are 12 integers that are factors of 7964. The greatest factor of 7964 is 7964.
4. How to Find the GCF of 7958 and 7964?
Answer:
Greatest Common Factor of 7958 and 7964 = 2
Step 1: Find the prime factorization of 7958
7958 = 2 x 23 x 173
Step 2: Find the prime factorization of 7964
7964 = 2 x 2 x 11 x 181
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 7958 and 7964 is 2