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 5135, 5139 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5135 and 5139 is 1.
GCF(5135,5139) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5135
5 | 5135 |
13 | 1027 |
79 | 79 |
1 |
Prime factors of 5135 are 5,13,79. Prime factorization of 5135 in exponential form is:
5135 = 51×131×791
Prime Factorization of 5139
3 | 5139 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:
5139 = 32×5711
∴ So by taking common prime factors GCF of 5135 and 5139 is 1
Factors of 5135
List of positive integer factors of 5135 that divides 5135 without a remainder.
1,5,13,65,79,395,1027,5135
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1,3,9,571,1713,5139
Greatest Common Factor
We found the factors and prime factorization of 5135 and 5139. The biggest common factor number is the GCF number.
So the greatest common factor 5135 and 5139 is 1.
Also check out the Least Common Multiple of 5135 and 5139
(i) The GCF of 5135 and 5139 is associative
GCF of 5135 and 5139 = GCF of 5139 and 5135
1. What is the GCF of 5135 and 5139?
Answer: GCF of 5135 and 5139 is 1.
2. What are the Factors of 5135?
Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.
3. What are the Factors of 5139?
Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.
4. How to Find the GCF of 5135 and 5139?
Answer:
Greatest Common Factor of 5135 and 5139 = 1
Step 1: Find the prime factorization of 5135
5135 = 5 x 13 x 79
Step 2: Find the prime factorization of 5139
5139 = 3 x 3 x 571
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 5135 and 5139 is 1