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 10045, 10049 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10045 and 10049 is 1.
GCF(10045,10049) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10045
5 | 10045 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 10045 are 5,7,41. Prime factorization of 10045 in exponential form is:
10045 = 51×72×411
Prime Factorization of 10049
13 | 10049 |
773 | 773 |
1 |
Prime factors of 10049 are 13,773. Prime factorization of 10049 in exponential form is:
10049 = 131×7731
∴ So by taking common prime factors GCF of 10045 and 10049 is 1
Factors of 10045
List of positive integer factors of 10045 that divides 10045 without a remainder.
1,5,7,35,41,49,205,245,287,1435,2009,10045
Factors of 10049
List of positive integer factors of 10049 that divides 10049 without a remainder.
1,13,773,10049
Greatest Common Factor
We found the factors and prime factorization of 10045 and 10049. The biggest common factor number is the GCF number.
So the greatest common factor 10045 and 10049 is 1.
Also check out the Least Common Multiple of 10045 and 10049
(i) The GCF of 10045 and 10049 is associative
GCF of 10045 and 10049 = GCF of 10049 and 10045
1. What is the GCF of 10045 and 10049?
Answer: GCF of 10045 and 10049 is 1.
2. What are the Factors of 10045?
Answer: Factors of 10045 are 1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009, 10045. There are 12 integers that are factors of 10045. The greatest factor of 10045 is 10045.
3. What are the Factors of 10049?
Answer: Factors of 10049 are 1, 13, 773, 10049. There are 4 integers that are factors of 10049. The greatest factor of 10049 is 10049.
4. How to Find the GCF of 10045 and 10049?
Answer:
Greatest Common Factor of 10045 and 10049 = 1
Step 1: Find the prime factorization of 10045
10045 = 5 x 7 x 7 x 41
Step 2: Find the prime factorization of 10049
10049 = 13 x 773
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 10045 and 10049 is 1