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 5102, 5109 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5102 and 5109 is 1.
GCF(5102,5109) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5102
2 | 5102 |
2551 | 2551 |
1 |
Prime factors of 5102 are 2,2551. Prime factorization of 5102 in exponential form is:
5102 = 21×25511
Prime Factorization of 5109
3 | 5109 |
13 | 1703 |
131 | 131 |
1 |
Prime factors of 5109 are 3,13,131. Prime factorization of 5109 in exponential form is:
5109 = 31×131×1311
∴ So by taking common prime factors GCF of 5102 and 5109 is 1
Factors of 5102
List of positive integer factors of 5102 that divides 5102 without a remainder.
1,2,2551,5102
Factors of 5109
List of positive integer factors of 5109 that divides 5109 without a remainder.
1,3,13,39,131,393,1703,5109
Greatest Common Factor
We found the factors and prime factorization of 5102 and 5109. The biggest common factor number is the GCF number.
So the greatest common factor 5102 and 5109 is 1.
Also check out the Least Common Multiple of 5102 and 5109
(i) The GCF of 5102 and 5109 is associative
GCF of 5102 and 5109 = GCF of 5109 and 5102
1. What is the GCF of 5102 and 5109?
Answer: GCF of 5102 and 5109 is 1.
2. What are the Factors of 5102?
Answer: Factors of 5102 are 1, 2, 2551, 5102. There are 4 integers that are factors of 5102. The greatest factor of 5102 is 5102.
3. What are the Factors of 5109?
Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.
4. How to Find the GCF of 5102 and 5109?
Answer:
Greatest Common Factor of 5102 and 5109 = 1
Step 1: Find the prime factorization of 5102
5102 = 2 x 2551
Step 2: Find the prime factorization of 5109
5109 = 3 x 13 x 131
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 5102 and 5109 is 1