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 5046, 5047 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5046 and 5047 is 1.
GCF(5046,5047) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5046
2 | 5046 |
3 | 2523 |
29 | 841 |
29 | 29 |
1 |
Prime factors of 5046 are 2,3,29. Prime factorization of 5046 in exponential form is:
5046 = 21×31×292
Prime Factorization of 5047
7 | 5047 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 5047 are 7,103. Prime factorization of 5047 in exponential form is:
5047 = 72×1031
∴ So by taking common prime factors GCF of 5046 and 5047 is 1
Factors of 5046
List of positive integer factors of 5046 that divides 5046 without a remainder.
1,2,3,6,29,58,87,174,841,1682,2523,5046
Factors of 5047
List of positive integer factors of 5047 that divides 5047 without a remainder.
1,7,49,103,721,5047
Greatest Common Factor
We found the factors and prime factorization of 5046 and 5047. The biggest common factor number is the GCF number.
So the greatest common factor 5046 and 5047 is 1.
Also check out the Least Common Multiple of 5046 and 5047
(i) The GCF of 5046 and 5047 is associative
GCF of 5046 and 5047 = GCF of 5047 and 5046
1. What is the GCF of 5046 and 5047?
Answer: GCF of 5046 and 5047 is 1.
2. What are the Factors of 5046?
Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.
3. What are the Factors of 5047?
Answer: Factors of 5047 are 1, 7, 49, 103, 721, 5047. There are 6 integers that are factors of 5047. The greatest factor of 5047 is 5047.
4. How to Find the GCF of 5046 and 5047?
Answer:
Greatest Common Factor of 5046 and 5047 = 1
Step 1: Find the prime factorization of 5046
5046 = 2 x 3 x 29 x 29
Step 2: Find the prime factorization of 5047
5047 = 7 x 7 x 103
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 5046 and 5047 is 1