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 3522, 3530 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3522 and 3530 is 2.
GCF(3522,3530) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3522
2 | 3522 |
3 | 1761 |
587 | 587 |
1 |
Prime factors of 3522 are 2,3,587. Prime factorization of 3522 in exponential form is:
3522 = 21×31×5871
Prime Factorization of 3530
2 | 3530 |
5 | 1765 |
353 | 353 |
1 |
Prime factors of 3530 are 2,5,353. Prime factorization of 3530 in exponential form is:
3530 = 21×51×3531
∴ So by taking common prime factors GCF of 3522 and 3530 is 2
Factors of 3522
List of positive integer factors of 3522 that divides 3522 without a remainder.
1,2,3,6,587,1174,1761,3522
Factors of 3530
List of positive integer factors of 3530 that divides 3530 without a remainder.
1,2,5,10,353,706,1765,3530
Greatest Common Factor
We found the factors and prime factorization of 3522 and 3530. The biggest common factor number is the GCF number.
So the greatest common factor 3522 and 3530 is 2.
Also check out the Least Common Multiple of 3522 and 3530
(i) The GCF of 3522 and 3530 is associative
GCF of 3522 and 3530 = GCF of 3530 and 3522
1. What is the GCF of 3522 and 3530?
Answer: GCF of 3522 and 3530 is 2.
2. What are the Factors of 3522?
Answer: Factors of 3522 are 1, 2, 3, 6, 587, 1174, 1761, 3522. There are 8 integers that are factors of 3522. The greatest factor of 3522 is 3522.
3. What are the Factors of 3530?
Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.
4. How to Find the GCF of 3522 and 3530?
Answer:
Greatest Common Factor of 3522 and 3530 = 2
Step 1: Find the prime factorization of 3522
3522 = 2 x 3 x 587
Step 2: Find the prime factorization of 3530
3530 = 2 x 5 x 353
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3522 and 3530 is 2