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 5162, 5167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5162 and 5167 is 1.
GCF(5162,5167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5162
2 | 5162 |
29 | 2581 |
89 | 89 |
1 |
Prime factors of 5162 are 2,29,89. Prime factorization of 5162 in exponential form is:
5162 = 21×291×891
Prime Factorization of 5167
5167 | 5167 |
1 |
Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:
5167 = 51671
∴ So by taking common prime factors GCF of 5162 and 5167 is 1
Factors of 5162
List of positive integer factors of 5162 that divides 5162 without a remainder.
1,2,29,58,89,178,2581,5162
Factors of 5167
List of positive integer factors of 5167 that divides 5167 without a remainder.
1,5167
Greatest Common Factor
We found the factors and prime factorization of 5162 and 5167. The biggest common factor number is the GCF number.
So the greatest common factor 5162 and 5167 is 1.
Also check out the Least Common Multiple of 5162 and 5167
(i) The GCF of 5162 and 5167 is associative
GCF of 5162 and 5167 = GCF of 5167 and 5162
1. What is the GCF of 5162 and 5167?
Answer: GCF of 5162 and 5167 is 1.
2. What are the Factors of 5162?
Answer: Factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162. There are 8 integers that are factors of 5162. The greatest factor of 5162 is 5162.
3. What are the Factors of 5167?
Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.
4. How to Find the GCF of 5162 and 5167?
Answer:
Greatest Common Factor of 5162 and 5167 = 1
Step 1: Find the prime factorization of 5162
5162 = 2 x 29 x 89
Step 2: Find the prime factorization of 5167
5167 = 5167
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 5162 and 5167 is 1