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 36032, 36037 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36032 and 36037 is 1.
GCF(36032,36037) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 36037
36037 | 36037 |
1 |
Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:
36037 = 360371
∴ So by taking common prime factors GCF of 36032 and 36037 is 1
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
Factors of 36037
List of positive integer factors of 36037 that divides 36037 without a remainder.
1,36037
Greatest Common Factor
We found the factors and prime factorization of 36032 and 36037. The biggest common factor number is the GCF number.
So the greatest common factor 36032 and 36037 is 1.
Also check out the Least Common Multiple of 36032 and 36037
(i) The GCF of 36032 and 36037 is associative
GCF of 36032 and 36037 = GCF of 36037 and 36032
1. What is the GCF of 36032 and 36037?
Answer: GCF of 36032 and 36037 is 1.
2. 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.
3. What are the Factors of 36037?
Answer: Factors of 36037 are 1, 36037. There are 2 integers that are factors of 36037. The greatest factor of 36037 is 36037.
4. How to Find the GCF of 36032 and 36037?
Answer:
Greatest Common Factor of 36032 and 36037 = 1
Step 1: Find the prime factorization of 36032
36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563
Step 2: Find the prime factorization of 36037
36037 = 36037
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 36032 and 36037 is 1