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 5130, 5134 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5130 and 5134 is 2.
GCF(5130,5134) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5130
2 | 5130 |
3 | 2565 |
3 | 855 |
3 | 285 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 5130 are 2,3,5,19. Prime factorization of 5130 in exponential form is:
5130 = 21×33×51×191
Prime Factorization of 5134
2 | 5134 |
17 | 2567 |
151 | 151 |
1 |
Prime factors of 5134 are 2,17,151. Prime factorization of 5134 in exponential form is:
5134 = 21×171×1511
∴ So by taking common prime factors GCF of 5130 and 5134 is 2
Factors of 5130
List of positive integer factors of 5130 that divides 5130 without a remainder.
1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Factors of 5134
List of positive integer factors of 5134 that divides 5134 without a remainder.
1,2,17,34,151,302,2567,5134
Greatest Common Factor
We found the factors and prime factorization of 5130 and 5134. The biggest common factor number is the GCF number.
So the greatest common factor 5130 and 5134 is 2.
Also check out the Least Common Multiple of 5130 and 5134
(i) The GCF of 5130 and 5134 is associative
GCF of 5130 and 5134 = GCF of 5134 and 5130
1. What is the GCF of 5130 and 5134?
Answer: GCF of 5130 and 5134 is 2.
2. What are the Factors of 5130?
Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.
3. What are the Factors of 5134?
Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.
4. How to Find the GCF of 5130 and 5134?
Answer:
Greatest Common Factor of 5130 and 5134 = 2
Step 1: Find the prime factorization of 5130
5130 = 2 x 3 x 3 x 3 x 5 x 19
Step 2: Find the prime factorization of 5134
5134 = 2 x 17 x 151
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5130 and 5134 is 2