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 1521, 1525 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1521 and 1525 is 1.
GCF(1521,1525) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1521
3 | 1521 |
3 | 507 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:
1521 = 32×132
Prime Factorization of 1525
5 | 1525 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 1525 are 5,61. Prime factorization of 1525 in exponential form is:
1525 = 52×611
∴ So by taking common prime factors GCF of 1521 and 1525 is 1
Factors of 1521
List of positive integer factors of 1521 that divides 1521 without a remainder.
1,3,9,13,39,117,169,507,1521
Factors of 1525
List of positive integer factors of 1525 that divides 1525 without a remainder.
1,5,25,61,305,1525
Greatest Common Factor
We found the factors and prime factorization of 1521 and 1525. The biggest common factor number is the GCF number.
So the greatest common factor 1521 and 1525 is 1.
Also check out the Least Common Multiple of 1521 and 1525
(i) The GCF of 1521 and 1525 is associative
GCF of 1521 and 1525 = GCF of 1525 and 1521
1. What is the GCF of 1521 and 1525?
Answer: GCF of 1521 and 1525 is 1.
2. What are the Factors of 1521?
Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.
3. What are the Factors of 1525?
Answer: Factors of 1525 are 1, 5, 25, 61, 305, 1525. There are 6 integers that are factors of 1525. The greatest factor of 1525 is 1525.
4. How to Find the GCF of 1521 and 1525?
Answer:
Greatest Common Factor of 1521 and 1525 = 1
Step 1: Find the prime factorization of 1521
1521 = 3 x 3 x 13 x 13
Step 2: Find the prime factorization of 1525
1525 = 5 x 5 x 61
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 1521 and 1525 is 1