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 7528, 7531 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7528 and 7531 is 1.
GCF(7528,7531) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7528
2 | 7528 |
2 | 3764 |
2 | 1882 |
941 | 941 |
1 |
Prime factors of 7528 are 2,941. Prime factorization of 7528 in exponential form is:
7528 = 23×9411
Prime Factorization of 7531
17 | 7531 |
443 | 443 |
1 |
Prime factors of 7531 are 17,443. Prime factorization of 7531 in exponential form is:
7531 = 171×4431
∴ So by taking common prime factors GCF of 7528 and 7531 is 1
Factors of 7528
List of positive integer factors of 7528 that divides 7528 without a remainder.
1,2,4,8,941,1882,3764,7528
Factors of 7531
List of positive integer factors of 7531 that divides 7531 without a remainder.
1,17,443,7531
Greatest Common Factor
We found the factors and prime factorization of 7528 and 7531. The biggest common factor number is the GCF number.
So the greatest common factor 7528 and 7531 is 1.
Also check out the Least Common Multiple of 7528 and 7531
(i) The GCF of 7528 and 7531 is associative
GCF of 7528 and 7531 = GCF of 7531 and 7528
1. What is the GCF of 7528 and 7531?
Answer: GCF of 7528 and 7531 is 1.
2. What are the Factors of 7528?
Answer: Factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528. There are 8 integers that are factors of 7528. The greatest factor of 7528 is 7528.
3. What are the Factors of 7531?
Answer: Factors of 7531 are 1, 17, 443, 7531. There are 4 integers that are factors of 7531. The greatest factor of 7531 is 7531.
4. How to Find the GCF of 7528 and 7531?
Answer:
Greatest Common Factor of 7528 and 7531 = 1
Step 1: Find the prime factorization of 7528
7528 = 2 x 2 x 2 x 941
Step 2: Find the prime factorization of 7531
7531 = 17 x 443
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 7528 and 7531 is 1