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 7525, 7528 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7525 and 7528 is 1.
GCF(7525,7528) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7525
5 | 7525 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 7525 are 5,7,43. Prime factorization of 7525 in exponential form is:
7525 = 52×71×431
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
∴ So by taking common prime factors GCF of 7525 and 7528 is 1
Factors of 7525
List of positive integer factors of 7525 that divides 7525 without a remainder.
1,5,7,25,35,43,175,215,301,1075,1505,7525
Factors of 7528
List of positive integer factors of 7528 that divides 7528 without a remainder.
1,2,4,8,941,1882,3764,7528
Greatest Common Factor
We found the factors and prime factorization of 7525 and 7528. The biggest common factor number is the GCF number.
So the greatest common factor 7525 and 7528 is 1.
Also check out the Least Common Multiple of 7525 and 7528
(i) The GCF of 7525 and 7528 is associative
GCF of 7525 and 7528 = GCF of 7528 and 7525
1. What is the GCF of 7525 and 7528?
Answer: GCF of 7525 and 7528 is 1.
2. What are the Factors of 7525?
Answer: Factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525. There are 12 integers that are factors of 7525. The greatest factor of 7525 is 7525.
3. 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.
4. How to Find the GCF of 7525 and 7528?
Answer:
Greatest Common Factor of 7525 and 7528 = 1
Step 1: Find the prime factorization of 7525
7525 = 5 x 5 x 7 x 43
Step 2: Find the prime factorization of 7528
7528 = 2 x 2 x 2 x 941
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 7525 and 7528 is 1