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 4113, 4118 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4113 and 4118 is 1.
GCF(4113,4118) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4113
3 | 4113 |
3 | 1371 |
457 | 457 |
1 |
Prime factors of 4113 are 3,457. Prime factorization of 4113 in exponential form is:
4113 = 32×4571
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
∴ So by taking common prime factors GCF of 4113 and 4118 is 1
Factors of 4113
List of positive integer factors of 4113 that divides 4113 without a remainder.
1,3,9,457,1371,4113
Factors of 4118
List of positive integer factors of 4118 that divides 4118 without a remainder.
1,2,29,58,71,142,2059,4118
Greatest Common Factor
We found the factors and prime factorization of 4113 and 4118. The biggest common factor number is the GCF number.
So the greatest common factor 4113 and 4118 is 1.
Also check out the Least Common Multiple of 4113 and 4118
(i) The GCF of 4113 and 4118 is associative
GCF of 4113 and 4118 = GCF of 4118 and 4113
1. What is the GCF of 4113 and 4118?
Answer: GCF of 4113 and 4118 is 1.
2. What are the Factors of 4113?
Answer: Factors of 4113 are 1, 3, 9, 457, 1371, 4113. There are 6 integers that are factors of 4113. The greatest factor of 4113 is 4113.
3. 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.
4. How to Find the GCF of 4113 and 4118?
Answer:
Greatest Common Factor of 4113 and 4118 = 1
Step 1: Find the prime factorization of 4113
4113 = 3 x 3 x 457
Step 2: Find the prime factorization of 4118
4118 = 2 x 29 x 71
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 4113 and 4118 is 1