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 8961, 8967 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8961 and 8967 is 3.
GCF(8961,8967) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8961
3 | 8961 |
29 | 2987 |
103 | 103 |
1 |
Prime factors of 8961 are 3,29,103. Prime factorization of 8961 in exponential form is:
8961 = 31×291×1031
Prime Factorization of 8967
3 | 8967 |
7 | 2989 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 8967 are 3,7,61. Prime factorization of 8967 in exponential form is:
8967 = 31×72×611
∴ So by taking common prime factors GCF of 8961 and 8967 is 3
Factors of 8961
List of positive integer factors of 8961 that divides 8961 without a remainder.
1,3,29,87,103,309,2987,8961
Factors of 8967
List of positive integer factors of 8967 that divides 8967 without a remainder.
1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors and prime factorization of 8961 and 8967. The biggest common factor number is the GCF number.
So the greatest common factor 8961 and 8967 is 3.
Also check out the Least Common Multiple of 8961 and 8967
(i) The GCF of 8961 and 8967 is associative
GCF of 8961 and 8967 = GCF of 8967 and 8961
1. What is the GCF of 8961 and 8967?
Answer: GCF of 8961 and 8967 is 3.
2. What are the Factors of 8961?
Answer: Factors of 8961 are 1, 3, 29, 87, 103, 309, 2987, 8961. There are 8 integers that are factors of 8961. The greatest factor of 8961 is 8961.
3. What are the Factors of 8967?
Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.
4. How to Find the GCF of 8961 and 8967?
Answer:
Greatest Common Factor of 8961 and 8967 = 3
Step 1: Find the prime factorization of 8961
8961 = 3 x 29 x 103
Step 2: Find the prime factorization of 8967
8967 = 3 x 7 x 7 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8961 and 8967 is 3