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 4118, 4123 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4118 and 4123 is 1.
GCF(4118,4123) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4118
2 | 4118 |
29 | 2059 |
71 | 71 |
1 |
Prime factors of 4118 are 2,29,71. Prime factorization of 4118 in exponential form is:
4118 = 21×291×711
Prime Factorization of 4123
7 | 4123 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 4123 are 7,19,31. Prime factorization of 4123 in exponential form is:
4123 = 71×191×311
∴ So by taking common prime factors GCF of 4118 and 4123 is 1
Factors of 4118
List of positive integer factors of 4118 that divides 4118 without a remainder.
1,2,29,58,71,142,2059,4118
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors and prime factorization of 4118 and 4123. The biggest common factor number is the GCF number.
So the greatest common factor 4118 and 4123 is 1.
Also check out the Least Common Multiple of 4118 and 4123
(i) The GCF of 4118 and 4123 is associative
GCF of 4118 and 4123 = GCF of 4123 and 4118
1. What is the GCF of 4118 and 4123?
Answer: GCF of 4118 and 4123 is 1.
2. What are the Factors of 4118?
Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.
3. What are the Factors of 4123?
Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.
4. How to Find the GCF of 4118 and 4123?
Answer:
Greatest Common Factor of 4118 and 4123 = 1
Step 1: Find the prime factorization of 4118
4118 = 2 x 29 x 71
Step 2: Find the prime factorization of 4123
4123 = 7 x 19 x 31
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 4118 and 4123 is 1