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 5148, 5153 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5148 and 5153 is 1.
GCF(5148,5153) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5148
2 | 5148 |
2 | 2574 |
3 | 1287 |
3 | 429 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 5148 are 2,3,11,13. Prime factorization of 5148 in exponential form is:
5148 = 22×32×111×131
Prime Factorization of 5153
5153 | 5153 |
1 |
Prime factors of 5153 are 5153. Prime factorization of 5153 in exponential form is:
5153 = 51531
∴ So by taking common prime factors GCF of 5148 and 5153 is 1
Factors of 5148
List of positive integer factors of 5148 that divides 5148 without a remainder.
1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Factors of 5153
List of positive integer factors of 5153 that divides 5153 without a remainder.
1,5153
Greatest Common Factor
We found the factors and prime factorization of 5148 and 5153. The biggest common factor number is the GCF number.
So the greatest common factor 5148 and 5153 is 1.
Also check out the Least Common Multiple of 5148 and 5153
(i) The GCF of 5148 and 5153 is associative
GCF of 5148 and 5153 = GCF of 5153 and 5148
1. What is the GCF of 5148 and 5153?
Answer: GCF of 5148 and 5153 is 1.
2. What are the Factors of 5148?
Answer: Factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148. There are 36 integers that are factors of 5148. The greatest factor of 5148 is 5148.
3. What are the Factors of 5153?
Answer: Factors of 5153 are 1, 5153. There are 2 integers that are factors of 5153. The greatest factor of 5153 is 5153.
4. How to Find the GCF of 5148 and 5153?
Answer:
Greatest Common Factor of 5148 and 5153 = 1
Step 1: Find the prime factorization of 5148
5148 = 2 x 2 x 3 x 3 x 11 x 13
Step 2: Find the prime factorization of 5153
5153 = 5153
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 5148 and 5153 is 1