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 8922, 8925 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8922 and 8925 is 3.
GCF(8922,8925) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8922
2 | 8922 |
3 | 4461 |
1487 | 1487 |
1 |
Prime factors of 8922 are 2,3,1487. Prime factorization of 8922 in exponential form is:
8922 = 21×31×14871
Prime Factorization of 8925
3 | 8925 |
5 | 2975 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 8925 are 3,5,7,17. Prime factorization of 8925 in exponential form is:
8925 = 31×52×71×171
∴ So by taking common prime factors GCF of 8922 and 8925 is 3
Factors of 8922
List of positive integer factors of 8922 that divides 8922 without a remainder.
1,2,3,6,1487,2974,4461,8922
Factors of 8925
List of positive integer factors of 8925 that divides 8925 without a remainder.
1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors and prime factorization of 8922 and 8925. The biggest common factor number is the GCF number.
So the greatest common factor 8922 and 8925 is 3.
Also check out the Least Common Multiple of 8922 and 8925
(i) The GCF of 8922 and 8925 is associative
GCF of 8922 and 8925 = GCF of 8925 and 8922
1. What is the GCF of 8922 and 8925?
Answer: GCF of 8922 and 8925 is 3.
2. What are the Factors of 8922?
Answer: Factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922. There are 8 integers that are factors of 8922. The greatest factor of 8922 is 8922.
3. What are the Factors of 8925?
Answer: Factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925. There are 24 integers that are factors of 8925. The greatest factor of 8925 is 8925.
4. How to Find the GCF of 8922 and 8925?
Answer:
Greatest Common Factor of 8922 and 8925 = 3
Step 1: Find the prime factorization of 8922
8922 = 2 x 3 x 1487
Step 2: Find the prime factorization of 8925
8925 = 3 x 5 x 5 x 7 x 17
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 8922 and 8925 is 3