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 8956, 8964 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8956 and 8964 is 4.
GCF(8956,8964) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8956
2 | 8956 |
2 | 4478 |
2239 | 2239 |
1 |
Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:
8956 = 22×22391
Prime Factorization of 8964
2 | 8964 |
2 | 4482 |
3 | 2241 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 8964 are 2,3,83. Prime factorization of 8964 in exponential form is:
8964 = 22×33×831
∴ So by taking common prime factors GCF of 8956 and 8964 is 4
Factors of 8956
List of positive integer factors of 8956 that divides 8956 without a remainder.
1,2,4,2239,4478,8956
Factors of 8964
List of positive integer factors of 8964 that divides 8964 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964
Greatest Common Factor
We found the factors and prime factorization of 8956 and 8964. The biggest common factor number is the GCF number.
So the greatest common factor 8956 and 8964 is 4.
Also check out the Least Common Multiple of 8956 and 8964
(i) The GCF of 8956 and 8964 is associative
GCF of 8956 and 8964 = GCF of 8964 and 8956
1. What is the GCF of 8956 and 8964?
Answer: GCF of 8956 and 8964 is 4.
2. What are the Factors of 8956?
Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.
3. What are the Factors of 8964?
Answer: Factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. There are 24 integers that are factors of 8964. The greatest factor of 8964 is 8964.
4. How to Find the GCF of 8956 and 8964?
Answer:
Greatest Common Factor of 8956 and 8964 = 4
Step 1: Find the prime factorization of 8956
8956 = 2 x 2 x 2239
Step 2: Find the prime factorization of 8964
8964 = 2 x 2 x 3 x 3 x 3 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8956 and 8964 is 4