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 3537, 3544 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3537 and 3544 is 1.
GCF(3537,3544) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3537
3 | 3537 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:
3537 = 33×1311
Prime Factorization of 3544
2 | 3544 |
2 | 1772 |
2 | 886 |
443 | 443 |
1 |
Prime factors of 3544 are 2,443. Prime factorization of 3544 in exponential form is:
3544 = 23×4431
∴ So by taking common prime factors GCF of 3537 and 3544 is 1
Factors of 3537
List of positive integer factors of 3537 that divides 3537 without a remainder.
1,3,9,27,131,393,1179,3537
Factors of 3544
List of positive integer factors of 3544 that divides 3544 without a remainder.
1,2,4,8,443,886,1772,3544
Greatest Common Factor
We found the factors and prime factorization of 3537 and 3544. The biggest common factor number is the GCF number.
So the greatest common factor 3537 and 3544 is 1.
Also check out the Least Common Multiple of 3537 and 3544
(i) The GCF of 3537 and 3544 is associative
GCF of 3537 and 3544 = GCF of 3544 and 3537
1. What is the GCF of 3537 and 3544?
Answer: GCF of 3537 and 3544 is 1.
2. What are the Factors of 3537?
Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.
3. What are the Factors of 3544?
Answer: Factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544. There are 8 integers that are factors of 3544. The greatest factor of 3544 is 3544.
4. How to Find the GCF of 3537 and 3544?
Answer:
Greatest Common Factor of 3537 and 3544 = 1
Step 1: Find the prime factorization of 3537
3537 = 3 x 3 x 3 x 131
Step 2: Find the prime factorization of 3544
3544 = 2 x 2 x 2 x 443
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 3537 and 3544 is 1