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 3525, 3531 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3525 and 3531 is 3.
GCF(3525,3531) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3525
3 | 3525 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 3525 are 3,5,47. Prime factorization of 3525 in exponential form is:
3525 = 31×52×471
Prime Factorization of 3531
3 | 3531 |
11 | 1177 |
107 | 107 |
1 |
Prime factors of 3531 are 3,11,107. Prime factorization of 3531 in exponential form is:
3531 = 31×111×1071
∴ So by taking common prime factors GCF of 3525 and 3531 is 3
Factors of 3525
List of positive integer factors of 3525 that divides 3525 without a remainder.
1,3,5,15,25,47,75,141,235,705,1175,3525
Factors of 3531
List of positive integer factors of 3531 that divides 3531 without a remainder.
1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors and prime factorization of 3525 and 3531. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3531 is 3.
Also check out the Least Common Multiple of 3525 and 3531
(i) The GCF of 3525 and 3531 is associative
GCF of 3525 and 3531 = GCF of 3531 and 3525
1. What is the GCF of 3525 and 3531?
Answer: GCF of 3525 and 3531 is 3.
2. What are the Factors of 3525?
Answer: Factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525. There are 12 integers that are factors of 3525. The greatest factor of 3525 is 3525.
3. What are the Factors of 3531?
Answer: Factors of 3531 are 1, 3, 11, 33, 107, 321, 1177, 3531. There are 8 integers that are factors of 3531. The greatest factor of 3531 is 3531.
4. How to Find the GCF of 3525 and 3531?
Answer:
Greatest Common Factor of 3525 and 3531 = 3
Step 1: Find the prime factorization of 3525
3525 = 3 x 5 x 5 x 47
Step 2: Find the prime factorization of 3531
3531 = 3 x 11 x 107
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 3525 and 3531 is 3