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 5043, 5050 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5043 and 5050 is 1.
GCF(5043,5050) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5043
3 | 5043 |
41 | 1681 |
41 | 41 |
1 |
Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:
5043 = 31×412
Prime Factorization of 5050
2 | 5050 |
5 | 2525 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 5050 are 2,5,101. Prime factorization of 5050 in exponential form is:
5050 = 21×52×1011
∴ So by taking common prime factors GCF of 5043 and 5050 is 1
Factors of 5043
List of positive integer factors of 5043 that divides 5043 without a remainder.
1,3,41,123,1681,5043
Factors of 5050
List of positive integer factors of 5050 that divides 5050 without a remainder.
1,2,5,10,25,50,101,202,505,1010,2525,5050
Greatest Common Factor
We found the factors and prime factorization of 5043 and 5050. The biggest common factor number is the GCF number.
So the greatest common factor 5043 and 5050 is 1.
Also check out the Least Common Multiple of 5043 and 5050
(i) The GCF of 5043 and 5050 is associative
GCF of 5043 and 5050 = GCF of 5050 and 5043
1. What is the GCF of 5043 and 5050?
Answer: GCF of 5043 and 5050 is 1.
2. What are the Factors of 5043?
Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.
3. What are the Factors of 5050?
Answer: Factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050. There are 12 integers that are factors of 5050. The greatest factor of 5050 is 5050.
4. How to Find the GCF of 5043 and 5050?
Answer:
Greatest Common Factor of 5043 and 5050 = 1
Step 1: Find the prime factorization of 5043
5043 = 3 x 41 x 41
Step 2: Find the prime factorization of 5050
5050 = 2 x 5 x 5 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 5043 and 5050 is 1