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 8954, 8955 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8954 and 8955 is 1.
GCF(8954,8955) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8954
2 | 8954 |
11 | 4477 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 8954 are 2,11,37. Prime factorization of 8954 in exponential form is:
8954 = 21×112×371
Prime Factorization of 8955
3 | 8955 |
3 | 2985 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 8955 are 3,5,199. Prime factorization of 8955 in exponential form is:
8955 = 32×51×1991
∴ So by taking common prime factors GCF of 8954 and 8955 is 1
Factors of 8954
List of positive integer factors of 8954 that divides 8954 without a remainder.
1,2,11,22,37,74,121,242,407,814,4477,8954
Factors of 8955
List of positive integer factors of 8955 that divides 8955 without a remainder.
1,3,5,9,15,45,199,597,995,1791,2985,8955
Greatest Common Factor
We found the factors and prime factorization of 8954 and 8955. The biggest common factor number is the GCF number.
So the greatest common factor 8954 and 8955 is 1.
Also check out the Least Common Multiple of 8954 and 8955
(i) The GCF of 8954 and 8955 is associative
GCF of 8954 and 8955 = GCF of 8955 and 8954
1. What is the GCF of 8954 and 8955?
Answer: GCF of 8954 and 8955 is 1.
2. What are the Factors of 8954?
Answer: Factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954. There are 12 integers that are factors of 8954. The greatest factor of 8954 is 8954.
3. What are the Factors of 8955?
Answer: Factors of 8955 are 1, 3, 5, 9, 15, 45, 199, 597, 995, 1791, 2985, 8955. There are 12 integers that are factors of 8955. The greatest factor of 8955 is 8955.
4. How to Find the GCF of 8954 and 8955?
Answer:
Greatest Common Factor of 8954 and 8955 = 1
Step 1: Find the prime factorization of 8954
8954 = 2 x 11 x 11 x 37
Step 2: Find the prime factorization of 8955
8955 = 3 x 3 x 5 x 199
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 8954 and 8955 is 1