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 1577, 1585 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1577 and 1585 is 1.
GCF(1577,1585) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1577
19 | 1577 |
83 | 83 |
1 |
Prime factors of 1577 are 19,83. Prime factorization of 1577 in exponential form is:
1577 = 191×831
Prime Factorization of 1585
5 | 1585 |
317 | 317 |
1 |
Prime factors of 1585 are 5,317. Prime factorization of 1585 in exponential form is:
1585 = 51×3171
∴ So by taking common prime factors GCF of 1577 and 1585 is 1
Factors of 1577
List of positive integer factors of 1577 that divides 1577 without a remainder.
1,19,83,1577
Factors of 1585
List of positive integer factors of 1585 that divides 1585 without a remainder.
1,5,317,1585
Greatest Common Factor
We found the factors and prime factorization of 1577 and 1585. The biggest common factor number is the GCF number.
So the greatest common factor 1577 and 1585 is 1.
Also check out the Least Common Multiple of 1577 and 1585
(i) The GCF of 1577 and 1585 is associative
GCF of 1577 and 1585 = GCF of 1585 and 1577
1. What is the GCF of 1577 and 1585?
Answer: GCF of 1577 and 1585 is 1.
2. What are the Factors of 1577?
Answer: Factors of 1577 are 1, 19, 83, 1577. There are 4 integers that are factors of 1577. The greatest factor of 1577 is 1577.
3. What are the Factors of 1585?
Answer: Factors of 1585 are 1, 5, 317, 1585. There are 4 integers that are factors of 1585. The greatest factor of 1585 is 1585.
4. How to Find the GCF of 1577 and 1585?
Answer:
Greatest Common Factor of 1577 and 1585 = 1
Step 1: Find the prime factorization of 1577
1577 = 19 x 83
Step 2: Find the prime factorization of 1585
1585 = 5 x 317
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 1577 and 1585 is 1