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 5132, 5137 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5132 and 5137 is 1.
GCF(5132,5137) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5132
2 | 5132 |
2 | 2566 |
1283 | 1283 |
1 |
Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:
5132 = 22×12831
Prime Factorization of 5137
11 | 5137 |
467 | 467 |
1 |
Prime factors of 5137 are 11,467. Prime factorization of 5137 in exponential form is:
5137 = 111×4671
∴ So by taking common prime factors GCF of 5132 and 5137 is 1
Factors of 5132
List of positive integer factors of 5132 that divides 5132 without a remainder.
1,2,4,1283,2566,5132
Factors of 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1,11,467,5137
Greatest Common Factor
We found the factors and prime factorization of 5132 and 5137. The biggest common factor number is the GCF number.
So the greatest common factor 5132 and 5137 is 1.
Also check out the Least Common Multiple of 5132 and 5137
(i) The GCF of 5132 and 5137 is associative
GCF of 5132 and 5137 = GCF of 5137 and 5132
1. What is the GCF of 5132 and 5137?
Answer: GCF of 5132 and 5137 is 1.
2. What are the Factors of 5132?
Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.
3. What are the Factors of 5137?
Answer: Factors of 5137 are 1, 11, 467, 5137. There are 4 integers that are factors of 5137. The greatest factor of 5137 is 5137.
4. How to Find the GCF of 5132 and 5137?
Answer:
Greatest Common Factor of 5132 and 5137 = 1
Step 1: Find the prime factorization of 5132
5132 = 2 x 2 x 1283
Step 2: Find the prime factorization of 5137
5137 = 11 x 467
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 5132 and 5137 is 1