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 8906, 8911 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8906 and 8911 is 1.
GCF(8906,8911) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8906
2 | 8906 |
61 | 4453 |
73 | 73 |
1 |
Prime factors of 8906 are 2,61,73. Prime factorization of 8906 in exponential form is:
8906 = 21×611×731
Prime Factorization of 8911
7 | 8911 |
19 | 1273 |
67 | 67 |
1 |
Prime factors of 8911 are 7,19,67. Prime factorization of 8911 in exponential form is:
8911 = 71×191×671
∴ So by taking common prime factors GCF of 8906 and 8911 is 1
Factors of 8906
List of positive integer factors of 8906 that divides 8906 without a remainder.
1,2,61,73,122,146,4453,8906
Factors of 8911
List of positive integer factors of 8911 that divides 8911 without a remainder.
1,7,19,67,133,469,1273,8911
Greatest Common Factor
We found the factors and prime factorization of 8906 and 8911. The biggest common factor number is the GCF number.
So the greatest common factor 8906 and 8911 is 1.
Also check out the Least Common Multiple of 8906 and 8911
(i) The GCF of 8906 and 8911 is associative
GCF of 8906 and 8911 = GCF of 8911 and 8906
1. What is the GCF of 8906 and 8911?
Answer: GCF of 8906 and 8911 is 1.
2. What are the Factors of 8906?
Answer: Factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906. There are 8 integers that are factors of 8906. The greatest factor of 8906 is 8906.
3. What are the Factors of 8911?
Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.
4. How to Find the GCF of 8906 and 8911?
Answer:
Greatest Common Factor of 8906 and 8911 = 1
Step 1: Find the prime factorization of 8906
8906 = 2 x 61 x 73
Step 2: Find the prime factorization of 8911
8911 = 7 x 19 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8906 and 8911 is 1