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 1535, 1537 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1535 and 1537 is 1.
GCF(1535,1537) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1535
5 | 1535 |
307 | 307 |
1 |
Prime factors of 1535 are 5,307. Prime factorization of 1535 in exponential form is:
1535 = 51×3071
Prime Factorization of 1537
29 | 1537 |
53 | 53 |
1 |
Prime factors of 1537 are 29,53. Prime factorization of 1537 in exponential form is:
1537 = 291×531
∴ So by taking common prime factors GCF of 1535 and 1537 is 1
Factors of 1535
List of positive integer factors of 1535 that divides 1535 without a remainder.
1,5,307,1535
Factors of 1537
List of positive integer factors of 1537 that divides 1537 without a remainder.
1,29,53,1537
Greatest Common Factor
We found the factors and prime factorization of 1535 and 1537. The biggest common factor number is the GCF number.
So the greatest common factor 1535 and 1537 is 1.
Also check out the Least Common Multiple of 1535 and 1537
(i) The GCF of 1535 and 1537 is associative
GCF of 1535 and 1537 = GCF of 1537 and 1535
1. What is the GCF of 1535 and 1537?
Answer: GCF of 1535 and 1537 is 1.
2. What are the Factors of 1535?
Answer: Factors of 1535 are 1, 5, 307, 1535. There are 4 integers that are factors of 1535. The greatest factor of 1535 is 1535.
3. What are the Factors of 1537?
Answer: Factors of 1537 are 1, 29, 53, 1537. There are 4 integers that are factors of 1537. The greatest factor of 1537 is 1537.
4. How to Find the GCF of 1535 and 1537?
Answer:
Greatest Common Factor of 1535 and 1537 = 1
Step 1: Find the prime factorization of 1535
1535 = 5 x 307
Step 2: Find the prime factorization of 1537
1537 = 29 x 53
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 1535 and 1537 is 1