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 5037, 5041 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5037 and 5041 is 1.
GCF(5037,5041) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5037
3 | 5037 |
23 | 1679 |
73 | 73 |
1 |
Prime factors of 5037 are 3,23,73. Prime factorization of 5037 in exponential form is:
5037 = 31×231×731
Prime Factorization of 5041
71 | 5041 |
71 | 71 |
1 |
Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:
5041 = 712
∴ So by taking common prime factors GCF of 5037 and 5041 is 1
Factors of 5037
List of positive integer factors of 5037 that divides 5037 without a remainder.
1,3,23,69,73,219,1679,5037
Factors of 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1,71,5041
Greatest Common Factor
We found the factors and prime factorization of 5037 and 5041. The biggest common factor number is the GCF number.
So the greatest common factor 5037 and 5041 is 1.
Also check out the Least Common Multiple of 5037 and 5041
(i) The GCF of 5037 and 5041 is associative
GCF of 5037 and 5041 = GCF of 5041 and 5037
1. What is the GCF of 5037 and 5041?
Answer: GCF of 5037 and 5041 is 1.
2. What are the Factors of 5037?
Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.
3. What are the Factors of 5041?
Answer: Factors of 5041 are 1, 71, 5041. There are 3 integers that are factors of 5041. The greatest factor of 5041 is 5041.
4. How to Find the GCF of 5037 and 5041?
Answer:
Greatest Common Factor of 5037 and 5041 = 1
Step 1: Find the prime factorization of 5037
5037 = 3 x 23 x 73
Step 2: Find the prime factorization of 5041
5041 = 71 x 71
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 5037 and 5041 is 1