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 5149, 5151 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5149 and 5151 is 1.
GCF(5149,5151) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5149
19 | 5149 |
271 | 271 |
1 |
Prime factors of 5149 are 19,271. Prime factorization of 5149 in exponential form is:
5149 = 191×2711
Prime Factorization of 5151
3 | 5151 |
17 | 1717 |
101 | 101 |
1 |
Prime factors of 5151 are 3,17,101. Prime factorization of 5151 in exponential form is:
5151 = 31×171×1011
∴ So by taking common prime factors GCF of 5149 and 5151 is 1
Factors of 5149
List of positive integer factors of 5149 that divides 5149 without a remainder.
1,19,271,5149
Factors of 5151
List of positive integer factors of 5151 that divides 5151 without a remainder.
1,3,17,51,101,303,1717,5151
Greatest Common Factor
We found the factors and prime factorization of 5149 and 5151. The biggest common factor number is the GCF number.
So the greatest common factor 5149 and 5151 is 1.
Also check out the Least Common Multiple of 5149 and 5151
(i) The GCF of 5149 and 5151 is associative
GCF of 5149 and 5151 = GCF of 5151 and 5149
1. What is the GCF of 5149 and 5151?
Answer: GCF of 5149 and 5151 is 1.
2. What are the Factors of 5149?
Answer: Factors of 5149 are 1, 19, 271, 5149. There are 4 integers that are factors of 5149. The greatest factor of 5149 is 5149.
3. What are the Factors of 5151?
Answer: Factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151. There are 8 integers that are factors of 5151. The greatest factor of 5151 is 5151.
4. How to Find the GCF of 5149 and 5151?
Answer:
Greatest Common Factor of 5149 and 5151 = 1
Step 1: Find the prime factorization of 5149
5149 = 19 x 271
Step 2: Find the prime factorization of 5151
5151 = 3 x 17 x 101
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 5149 and 5151 is 1