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 11025, 11029 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11025 and 11029 is 1.
GCF(11025,11029) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11025
3 | 11025 |
3 | 3675 |
5 | 1225 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 11025 are 3,5,7. Prime factorization of 11025 in exponential form is:
11025 = 32×52×72
Prime Factorization of 11029
41 | 11029 |
269 | 269 |
1 |
Prime factors of 11029 are 41,269. Prime factorization of 11029 in exponential form is:
11029 = 411×2691
∴ So by taking common prime factors GCF of 11025 and 11029 is 1
Factors of 11025
List of positive integer factors of 11025 that divides 11025 without a remainder.
1,3,5,7,9,15,21,25,35,45,49,63,75,105,147,175,225,245,315,441,525,735,1225,1575,2205,3675,11025
Factors of 11029
List of positive integer factors of 11029 that divides 11029 without a remainder.
1,41,269,11029
Greatest Common Factor
We found the factors and prime factorization of 11025 and 11029. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11029 is 1.
Also check out the Least Common Multiple of 11025 and 11029
(i) The GCF of 11025 and 11029 is associative
GCF of 11025 and 11029 = GCF of 11029 and 11025
1. What is the GCF of 11025 and 11029?
Answer: GCF of 11025 and 11029 is 1.
2. What are the Factors of 11025?
Answer: Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025. There are 27 integers that are factors of 11025. The greatest factor of 11025 is 11025.
3. What are the Factors of 11029?
Answer: Factors of 11029 are 1, 41, 269, 11029. There are 4 integers that are factors of 11029. The greatest factor of 11029 is 11029.
4. How to Find the GCF of 11025 and 11029?
Answer:
Greatest Common Factor of 11025 and 11029 = 1
Step 1: Find the prime factorization of 11025
11025 = 3 x 3 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 11029
11029 = 41 x 269
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 11025 and 11029 is 1