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 15325, 15330 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15325 and 15330 is 5.
GCF(15325,15330) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15325
5 | 15325 |
5 | 3065 |
613 | 613 |
1 |
Prime factors of 15325 are 5,613. Prime factorization of 15325 in exponential form is:
15325 = 52×6131
Prime Factorization of 15330
2 | 15330 |
3 | 7665 |
5 | 2555 |
7 | 511 |
73 | 73 |
1 |
Prime factors of 15330 are 2,3,5,7,73. Prime factorization of 15330 in exponential form is:
15330 = 21×31×51×71×731
∴ So by taking common prime factors GCF of 15325 and 15330 is 5
Factors of 15325
List of positive integer factors of 15325 that divides 15325 without a remainder.
1,5,25,613,3065,15325
Factors of 15330
List of positive integer factors of 15330 that divides 15330 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,73,105,146,210,219,365,438,511,730,1022,1095,1533,2190,2555,3066,5110,7665,15330
Greatest Common Factor
We found the factors and prime factorization of 15325 and 15330. The biggest common factor number is the GCF number.
So the greatest common factor 15325 and 15330 is 5.
Also check out the Least Common Multiple of 15325 and 15330
(i) The GCF of 15325 and 15330 is associative
GCF of 15325 and 15330 = GCF of 15330 and 15325
1. What is the GCF of 15325 and 15330?
Answer: GCF of 15325 and 15330 is 5.
2. What are the Factors of 15325?
Answer: Factors of 15325 are 1, 5, 25, 613, 3065, 15325. There are 6 integers that are factors of 15325. The greatest factor of 15325 is 15325.
3. What are the Factors of 15330?
Answer: Factors of 15330 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 73, 105, 146, 210, 219, 365, 438, 511, 730, 1022, 1095, 1533, 2190, 2555, 3066, 5110, 7665, 15330. There are 32 integers that are factors of 15330. The greatest factor of 15330 is 15330.
4. How to Find the GCF of 15325 and 15330?
Answer:
Greatest Common Factor of 15325 and 15330 = 5
Step 1: Find the prime factorization of 15325
15325 = 5 x 5 x 613
Step 2: Find the prime factorization of 15330
15330 = 2 x 3 x 5 x 7 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 15325 and 15330 is 5