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 3523, 3524 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3523 and 3524 is 1.
GCF(3523,3524) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3523
13 | 3523 |
271 | 271 |
1 |
Prime factors of 3523 are 13,271. Prime factorization of 3523 in exponential form is:
3523 = 131×2711
Prime Factorization of 3524
2 | 3524 |
2 | 1762 |
881 | 881 |
1 |
Prime factors of 3524 are 2,881. Prime factorization of 3524 in exponential form is:
3524 = 22×8811
∴ So by taking common prime factors GCF of 3523 and 3524 is 1
Factors of 3523
List of positive integer factors of 3523 that divides 3523 without a remainder.
1,13,271,3523
Factors of 3524
List of positive integer factors of 3524 that divides 3524 without a remainder.
1,2,4,881,1762,3524
Greatest Common Factor
We found the factors and prime factorization of 3523 and 3524. The biggest common factor number is the GCF number.
So the greatest common factor 3523 and 3524 is 1.
Also check out the Least Common Multiple of 3523 and 3524
(i) The GCF of 3523 and 3524 is associative
GCF of 3523 and 3524 = GCF of 3524 and 3523
1. What is the GCF of 3523 and 3524?
Answer: GCF of 3523 and 3524 is 1.
2. What are the Factors of 3523?
Answer: Factors of 3523 are 1, 13, 271, 3523. There are 4 integers that are factors of 3523. The greatest factor of 3523 is 3523.
3. What are the Factors of 3524?
Answer: Factors of 3524 are 1, 2, 4, 881, 1762, 3524. There are 6 integers that are factors of 3524. The greatest factor of 3524 is 3524.
4. How to Find the GCF of 3523 and 3524?
Answer:
Greatest Common Factor of 3523 and 3524 = 1
Step 1: Find the prime factorization of 3523
3523 = 13 x 271
Step 2: Find the prime factorization of 3524
3524 = 2 x 2 x 881
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 3523 and 3524 is 1