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 7527, 7530 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7527 and 7530 is 3.
GCF(7527,7530) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7527
3 | 7527 |
13 | 2509 |
193 | 193 |
1 |
Prime factors of 7527 are 3,13,193. Prime factorization of 7527 in exponential form is:
7527 = 31×131×1931
Prime Factorization of 7530
2 | 7530 |
3 | 3765 |
5 | 1255 |
251 | 251 |
1 |
Prime factors of 7530 are 2,3,5,251. Prime factorization of 7530 in exponential form is:
7530 = 21×31×51×2511
∴ So by taking common prime factors GCF of 7527 and 7530 is 3
Factors of 7527
List of positive integer factors of 7527 that divides 7527 without a remainder.
1,3,13,39,193,579,2509,7527
Factors of 7530
List of positive integer factors of 7530 that divides 7530 without a remainder.
1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530
Greatest Common Factor
We found the factors and prime factorization of 7527 and 7530. The biggest common factor number is the GCF number.
So the greatest common factor 7527 and 7530 is 3.
Also check out the Least Common Multiple of 7527 and 7530
(i) The GCF of 7527 and 7530 is associative
GCF of 7527 and 7530 = GCF of 7530 and 7527
1. What is the GCF of 7527 and 7530?
Answer: GCF of 7527 and 7530 is 3.
2. What are the Factors of 7527?
Answer: Factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527. There are 8 integers that are factors of 7527. The greatest factor of 7527 is 7527.
3. What are the Factors of 7530?
Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.
4. How to Find the GCF of 7527 and 7530?
Answer:
Greatest Common Factor of 7527 and 7530 = 3
Step 1: Find the prime factorization of 7527
7527 = 3 x 13 x 193
Step 2: Find the prime factorization of 7530
7530 = 2 x 3 x 5 x 251
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7527 and 7530 is 3