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 1575, 1576 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1575 and 1576 is 1.
GCF(1575,1576) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1575
3 | 1575 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1575 are 3,5,7. Prime factorization of 1575 in exponential form is:
1575 = 32×52×71
Prime Factorization of 1576
2 | 1576 |
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 1576 are 2,197. Prime factorization of 1576 in exponential form is:
1576 = 23×1971
∴ So by taking common prime factors GCF of 1575 and 1576 is 1
Factors of 1575
List of positive integer factors of 1575 that divides 1575 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Factors of 1576
List of positive integer factors of 1576 that divides 1576 without a remainder.
1,2,4,8,197,394,788,1576
Greatest Common Factor
We found the factors and prime factorization of 1575 and 1576. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1576 is 1.
Also check out the Least Common Multiple of 1575 and 1576
(i) The GCF of 1575 and 1576 is associative
GCF of 1575 and 1576 = GCF of 1576 and 1575
1. What is the GCF of 1575 and 1576?
Answer: GCF of 1575 and 1576 is 1.
2. What are the Factors of 1575?
Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.
3. What are the Factors of 1576?
Answer: Factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576. There are 8 integers that are factors of 1576. The greatest factor of 1576 is 1576.
4. How to Find the GCF of 1575 and 1576?
Answer:
Greatest Common Factor of 1575 and 1576 = 1
Step 1: Find the prime factorization of 1575
1575 = 3 x 3 x 5 x 5 x 7
Step 2: Find the prime factorization of 1576
1576 = 2 x 2 x 2 x 197
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 1575 and 1576 is 1