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 8525, 8529 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8525 and 8529 is 1.
GCF(8525,8529) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8525
5 | 8525 |
5 | 1705 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 8525 are 5,11,31. Prime factorization of 8525 in exponential form is:
8525 = 52×111×311
Prime Factorization of 8529
3 | 8529 |
2843 | 2843 |
1 |
Prime factors of 8529 are 3,2843. Prime factorization of 8529 in exponential form is:
8529 = 31×28431
∴ So by taking common prime factors GCF of 8525 and 8529 is 1
Factors of 8525
List of positive integer factors of 8525 that divides 8525 without a remainder.
1,5,11,25,31,55,155,275,341,775,1705,8525
Factors of 8529
List of positive integer factors of 8529 that divides 8529 without a remainder.
1,3,2843,8529
Greatest Common Factor
We found the factors and prime factorization of 8525 and 8529. The biggest common factor number is the GCF number.
So the greatest common factor 8525 and 8529 is 1.
Also check out the Least Common Multiple of 8525 and 8529
(i) The GCF of 8525 and 8529 is associative
GCF of 8525 and 8529 = GCF of 8529 and 8525
1. What is the GCF of 8525 and 8529?
Answer: GCF of 8525 and 8529 is 1.
2. What are the Factors of 8525?
Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.
3. What are the Factors of 8529?
Answer: Factors of 8529 are 1, 3, 2843, 8529. There are 4 integers that are factors of 8529. The greatest factor of 8529 is 8529.
4. How to Find the GCF of 8525 and 8529?
Answer:
Greatest Common Factor of 8525 and 8529 = 1
Step 1: Find the prime factorization of 8525
8525 = 5 x 5 x 11 x 31
Step 2: Find the prime factorization of 8529
8529 = 3 x 2843
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 8525 and 8529 is 1