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 36025, 36032 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36025 and 36032 is 1.
GCF(36025,36032) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36025
5 | 36025 |
5 | 7205 |
11 | 1441 |
131 | 131 |
1 |
Prime factors of 36025 are 5,11,131. Prime factorization of 36025 in exponential form is:
36025 = 52×111×1311
Prime Factorization of 36032
2 | 36032 |
2 | 18016 |
2 | 9008 |
2 | 4504 |
2 | 2252 |
2 | 1126 |
563 | 563 |
1 |
Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:
36032 = 26×5631
∴ So by taking common prime factors GCF of 36025 and 36032 is 1
Factors of 36025
List of positive integer factors of 36025 that divides 36025 without a remainder.
1,5,11,25,55,131,275,655,1441,3275,7205,36025
Factors of 36032
List of positive integer factors of 36032 that divides 36032 without a remainder.
1,2,4,8,16,32,64,563,1126,2252,4504,9008,18016,36032
Greatest Common Factor
We found the factors and prime factorization of 36025 and 36032. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36032 is 1.
Also check out the Least Common Multiple of 36025 and 36032
(i) The GCF of 36025 and 36032 is associative
GCF of 36025 and 36032 = GCF of 36032 and 36025
1. What is the GCF of 36025 and 36032?
Answer: GCF of 36025 and 36032 is 1.
2. What are the Factors of 36025?
Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.
3. What are the Factors of 36032?
Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.
4. How to Find the GCF of 36025 and 36032?
Answer:
Greatest Common Factor of 36025 and 36032 = 1
Step 1: Find the prime factorization of 36025
36025 = 5 x 5 x 11 x 131
Step 2: Find the prime factorization of 36032
36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563
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 36025 and 36032 is 1