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 3540, 3546 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3540 and 3546 is 6.
GCF(3540,3546) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3540
2 | 3540 |
2 | 1770 |
3 | 885 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 3540 are 2,3,5,59. Prime factorization of 3540 in exponential form is:
3540 = 22×31×51×591
Prime Factorization of 3546
2 | 3546 |
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 3546 are 2,3,197. Prime factorization of 3546 in exponential form is:
3546 = 21×32×1971
∴ So by taking common prime factors GCF of 3540 and 3546 is 6
Factors of 3540
List of positive integer factors of 3540 that divides 3540 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Factors of 3546
List of positive integer factors of 3546 that divides 3546 without a remainder.
1,2,3,6,9,18,197,394,591,1182,1773,3546
Greatest Common Factor
We found the factors and prime factorization of 3540 and 3546. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3546 is 6.
Also check out the Least Common Multiple of 3540 and 3546
(i) The GCF of 3540 and 3546 is associative
GCF of 3540 and 3546 = GCF of 3546 and 3540
1. What is the GCF of 3540 and 3546?
Answer: GCF of 3540 and 3546 is 6.
2. What are the Factors of 3540?
Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.
3. What are the Factors of 3546?
Answer: Factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546. There are 12 integers that are factors of 3546. The greatest factor of 3546 is 3546.
4. How to Find the GCF of 3540 and 3546?
Answer:
Greatest Common Factor of 3540 and 3546 = 6
Step 1: Find the prime factorization of 3540
3540 = 2 x 2 x 3 x 5 x 59
Step 2: Find the prime factorization of 3546
3546 = 2 x 3 x 3 x 197
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 3540 and 3546 is 6