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 3526, 3532 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3526 and 3532 is 2.
GCF(3526,3532) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3526
2 | 3526 |
41 | 1763 |
43 | 43 |
1 |
Prime factors of 3526 are 2,41,43. Prime factorization of 3526 in exponential form is:
3526 = 21×411×431
Prime Factorization of 3532
2 | 3532 |
2 | 1766 |
883 | 883 |
1 |
Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:
3532 = 22×8831
∴ So by taking common prime factors GCF of 3526 and 3532 is 2
Factors of 3526
List of positive integer factors of 3526 that divides 3526 without a remainder.
1,2,41,43,82,86,1763,3526
Factors of 3532
List of positive integer factors of 3532 that divides 3532 without a remainder.
1,2,4,883,1766,3532
Greatest Common Factor
We found the factors and prime factorization of 3526 and 3532. The biggest common factor number is the GCF number.
So the greatest common factor 3526 and 3532 is 2.
Also check out the Least Common Multiple of 3526 and 3532
(i) The GCF of 3526 and 3532 is associative
GCF of 3526 and 3532 = GCF of 3532 and 3526
1. What is the GCF of 3526 and 3532?
Answer: GCF of 3526 and 3532 is 2.
2. What are the Factors of 3526?
Answer: Factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526. There are 8 integers that are factors of 3526. The greatest factor of 3526 is 3526.
3. What are the Factors of 3532?
Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.
4. How to Find the GCF of 3526 and 3532?
Answer:
Greatest Common Factor of 3526 and 3532 = 2
Step 1: Find the prime factorization of 3526
3526 = 2 x 41 x 43
Step 2: Find the prime factorization of 3532
3532 = 2 x 2 x 883
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 3526 and 3532 is 2