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 5157, 5161 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5157 and 5161 is 1.
GCF(5157,5161) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5157
3 | 5157 |
3 | 1719 |
3 | 573 |
191 | 191 |
1 |
Prime factors of 5157 are 3,191. Prime factorization of 5157 in exponential form is:
5157 = 33×1911
Prime Factorization of 5161
13 | 5161 |
397 | 397 |
1 |
Prime factors of 5161 are 13,397. Prime factorization of 5161 in exponential form is:
5161 = 131×3971
∴ So by taking common prime factors GCF of 5157 and 5161 is 1
Factors of 5157
List of positive integer factors of 5157 that divides 5157 without a remainder.
1,3,9,27,191,573,1719,5157
Factors of 5161
List of positive integer factors of 5161 that divides 5161 without a remainder.
1,13,397,5161
Greatest Common Factor
We found the factors and prime factorization of 5157 and 5161. The biggest common factor number is the GCF number.
So the greatest common factor 5157 and 5161 is 1.
Also check out the Least Common Multiple of 5157 and 5161
(i) The GCF of 5157 and 5161 is associative
GCF of 5157 and 5161 = GCF of 5161 and 5157
1. What is the GCF of 5157 and 5161?
Answer: GCF of 5157 and 5161 is 1.
2. What are the Factors of 5157?
Answer: Factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157. There are 8 integers that are factors of 5157. The greatest factor of 5157 is 5157.
3. What are the Factors of 5161?
Answer: Factors of 5161 are 1, 13, 397, 5161. There are 4 integers that are factors of 5161. The greatest factor of 5161 is 5161.
4. How to Find the GCF of 5157 and 5161?
Answer:
Greatest Common Factor of 5157 and 5161 = 1
Step 1: Find the prime factorization of 5157
5157 = 3 x 3 x 3 x 191
Step 2: Find the prime factorization of 5161
5161 = 13 x 397
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 5157 and 5161 is 1