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, 5136 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5135 and 5136 is 1.
GCF(5135,5136) = 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 5136
2 | 5136 |
2 | 2568 |
2 | 1284 |
2 | 642 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 5136 are 2,3,107. Prime factorization of 5136 in exponential form is:
5136 = 24×31×1071
∴ So by taking common prime factors GCF of 5135 and 5136 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 5136
List of positive integer factors of 5136 that divides 5136 without a remainder.
1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Greatest Common Factor
We found the factors and prime factorization of 5135 and 5136. The biggest common factor number is the GCF number.
So the greatest common factor 5135 and 5136 is 1.
Also check out the Least Common Multiple of 5135 and 5136
(i) The GCF of 5135 and 5136 is associative
GCF of 5135 and 5136 = GCF of 5136 and 5135
1. What is the GCF of 5135 and 5136?
Answer: GCF of 5135 and 5136 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 5136?
Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.
4. How to Find the GCF of 5135 and 5136?
Answer:
Greatest Common Factor of 5135 and 5136 = 1
Step 1: Find the prime factorization of 5135
5135 = 5 x 13 x 79
Step 2: Find the prime factorization of 5136
5136 = 2 x 2 x 2 x 2 x 3 x 107
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 5136 is 1