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 8631, 8634 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8631 and 8634 is 3.
GCF(8631,8634) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8631
3 | 8631 |
3 | 2877 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 8631 are 3,7,137. Prime factorization of 8631 in exponential form is:
8631 = 32×71×1371
Prime Factorization of 8634
2 | 8634 |
3 | 4317 |
1439 | 1439 |
1 |
Prime factors of 8634 are 2,3,1439. Prime factorization of 8634 in exponential form is:
8634 = 21×31×14391
∴ So by taking common prime factors GCF of 8631 and 8634 is 3
Factors of 8631
List of positive integer factors of 8631 that divides 8631 without a remainder.
1,3,7,9,21,63,137,411,959,1233,2877,8631
Factors of 8634
List of positive integer factors of 8634 that divides 8634 without a remainder.
1,2,3,6,1439,2878,4317,8634
Greatest Common Factor
We found the factors and prime factorization of 8631 and 8634. The biggest common factor number is the GCF number.
So the greatest common factor 8631 and 8634 is 3.
Also check out the Least Common Multiple of 8631 and 8634
(i) The GCF of 8631 and 8634 is associative
GCF of 8631 and 8634 = GCF of 8634 and 8631
1. What is the GCF of 8631 and 8634?
Answer: GCF of 8631 and 8634 is 3.
2. What are the Factors of 8631?
Answer: Factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631. There are 12 integers that are factors of 8631. The greatest factor of 8631 is 8631.
3. What are the Factors of 8634?
Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.
4. How to Find the GCF of 8631 and 8634?
Answer:
Greatest Common Factor of 8631 and 8634 = 3
Step 1: Find the prime factorization of 8631
8631 = 3 x 3 x 7 x 137
Step 2: Find the prime factorization of 8634
8634 = 2 x 3 x 1439
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 8631 and 8634 is 3