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 8941, 8949 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8941 and 8949 is 1.
GCF(8941,8949) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8941
8941 | 8941 |
1 |
Prime factors of 8941 are 8941. Prime factorization of 8941 in exponential form is:
8941 = 89411
Prime Factorization of 8949
3 | 8949 |
19 | 2983 |
157 | 157 |
1 |
Prime factors of 8949 are 3.Prime factorization of 8949 in exponential form is:
8949 = 31×191×1571
∴ So by taking common prime factors GCF of 8941 and 8949 is 1
Factors of 8941
List of positive integer factors of 8941 that divides 8941 without a remainder.
1,8941
Factors of 8949
List of positive integer factors of 8949 that divides 8949 without a remainder.
1,3,19,57,157,471,2983,8949
Greatest Common Factor
We found the factors and prime factorization of 8941 and 8949. The biggest common factor number is the GCF number.
So the greatest common factor 8941 and 8949 is 1.
Also check out the Least Common Multiple of 8941 and 8949
(i) The GCF of 8941 and 8949 is associative
GCF of 8941 and 8949 = GCF of 8949 and 8941
1. What is the GCF of 8941 and 8949?
Answer: GCF of 8941 and 8949 is 1.
2. What are the Factors of 8941?
Answer: Factors of 8941 are 1, 8941. There are 2 integers that are factors of 8941. The greatest factor of 8941 is 8941.
3. What are the Factors of 8949?
Answer: Factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949. There are 8 integers that are factors of 8949. The greatest factor of 8949 is 8949.
4. How to Find the GCF of 8941 and 8949?
Answer:
Greatest Common Factor of 8941 and 8949 = 1
Step 1: Find the prime factorization of 8941
8941 = 8941
Step 2: Find the prime factorization of 8949
8949 = 3 x 19 x 157
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 8941 and 8949 is 1