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 4107, 4109 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4107 and 4109 is 1.
GCF(4107,4109) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4107
3 | 4107 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 4107 are 3,37. Prime factorization of 4107 in exponential form is:
4107 = 31×372
Prime Factorization of 4109
7 | 4109 |
587 | 587 |
1 |
Prime factors of 4109 are 7,587. Prime factorization of 4109 in exponential form is:
4109 = 71×5871
∴ So by taking common prime factors GCF of 4107 and 4109 is 1
Factors of 4107
List of positive integer factors of 4107 that divides 4107 without a remainder.
1,3,37,111,1369,4107
Factors of 4109
List of positive integer factors of 4109 that divides 4109 without a remainder.
1,7,587,4109
Greatest Common Factor
We found the factors and prime factorization of 4107 and 4109. The biggest common factor number is the GCF number.
So the greatest common factor 4107 and 4109 is 1.
Also check out the Least Common Multiple of 4107 and 4109
(i) The GCF of 4107 and 4109 is associative
GCF of 4107 and 4109 = GCF of 4109 and 4107
1. What is the GCF of 4107 and 4109?
Answer: GCF of 4107 and 4109 is 1.
2. What are the Factors of 4107?
Answer: Factors of 4107 are 1, 3, 37, 111, 1369, 4107. There are 6 integers that are factors of 4107. The greatest factor of 4107 is 4107.
3. What are the Factors of 4109?
Answer: Factors of 4109 are 1, 7, 587, 4109. There are 4 integers that are factors of 4109. The greatest factor of 4109 is 4109.
4. How to Find the GCF of 4107 and 4109?
Answer:
Greatest Common Factor of 4107 and 4109 = 1
Step 1: Find the prime factorization of 4107
4107 = 3 x 37 x 37
Step 2: Find the prime factorization of 4109
4109 = 7 x 587
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 4107 and 4109 is 1