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 8921, 8926 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8921 and 8926 is 1.
GCF(8921,8926) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8921
11 | 8921 |
811 | 811 |
1 |
Prime factors of 8921 are 11,811. Prime factorization of 8921 in exponential form is:
8921 = 111×8111
Prime Factorization of 8926
2 | 8926 |
4463 | 4463 |
1 |
Prime factors of 8926 are 2,4463. Prime factorization of 8926 in exponential form is:
8926 = 21×44631
∴ So by taking common prime factors GCF of 8921 and 8926 is 1
Factors of 8921
List of positive integer factors of 8921 that divides 8921 without a remainder.
1,11,811,8921
Factors of 8926
List of positive integer factors of 8926 that divides 8926 without a remainder.
1,2,4463,8926
Greatest Common Factor
We found the factors and prime factorization of 8921 and 8926. The biggest common factor number is the GCF number.
So the greatest common factor 8921 and 8926 is 1.
Also check out the Least Common Multiple of 8921 and 8926
(i) The GCF of 8921 and 8926 is associative
GCF of 8921 and 8926 = GCF of 8926 and 8921
1. What is the GCF of 8921 and 8926?
Answer: GCF of 8921 and 8926 is 1.
2. What are the Factors of 8921?
Answer: Factors of 8921 are 1, 11, 811, 8921. There are 4 integers that are factors of 8921. The greatest factor of 8921 is 8921.
3. What are the Factors of 8926?
Answer: Factors of 8926 are 1, 2, 4463, 8926. There are 4 integers that are factors of 8926. The greatest factor of 8926 is 8926.
4. How to Find the GCF of 8921 and 8926?
Answer:
Greatest Common Factor of 8921 and 8926 = 1
Step 1: Find the prime factorization of 8921
8921 = 11 x 811
Step 2: Find the prime factorization of 8926
8926 = 2 x 4463
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 8921 and 8926 is 1