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 1545, 1553 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1545 and 1553 is 1.
GCF(1545,1553) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1545
3 | 1545 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 1545 are 3,5,103. Prime factorization of 1545 in exponential form is:
1545 = 31×51×1031
Prime Factorization of 1553
1553 | 1553 |
1 |
Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:
1553 = 15531
∴ So by taking common prime factors GCF of 1545 and 1553 is 1
Factors of 1545
List of positive integer factors of 1545 that divides 1545 without a remainder.
1,3,5,15,103,309,515,1545
Factors of 1553
List of positive integer factors of 1553 that divides 1553 without a remainder.
1,1553
Greatest Common Factor
We found the factors and prime factorization of 1545 and 1553. The biggest common factor number is the GCF number.
So the greatest common factor 1545 and 1553 is 1.
Also check out the Least Common Multiple of 1545 and 1553
(i) The GCF of 1545 and 1553 is associative
GCF of 1545 and 1553 = GCF of 1553 and 1545
1. What is the GCF of 1545 and 1553?
Answer: GCF of 1545 and 1553 is 1.
2. What are the Factors of 1545?
Answer: Factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545. There are 8 integers that are factors of 1545. The greatest factor of 1545 is 1545.
3. What are the Factors of 1553?
Answer: Factors of 1553 are 1, 1553. There are 2 integers that are factors of 1553. The greatest factor of 1553 is 1553.
4. How to Find the GCF of 1545 and 1553?
Answer:
Greatest Common Factor of 1545 and 1553 = 1
Step 1: Find the prime factorization of 1545
1545 = 3 x 5 x 103
Step 2: Find the prime factorization of 1553
1553 = 1553
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 1545 and 1553 is 1