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 531, 539 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 531 and 539 is 1.
GCF(531,539) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 531
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:
531 = 32×591
Prime Factorization of 539
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:
539 = 72×111
∴ So by taking common prime factors GCF of 531 and 539 is 1
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors and prime factorization of 531 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 531 and 539 is 1.
Also check out the Least Common Multiple of 531 and 539
(i) The GCF of 531 and 539 is associative
GCF of 531 and 539 = GCF of 539 and 531
1. What is the GCF of 531 and 539?
Answer: GCF of 531 and 539 is 1.
2. What are the Factors of 531?
Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.
3. What are the Factors of 539?
Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.
4. How to Find the GCF of 531 and 539?
Answer:
Greatest Common Factor of 531 and 539 = 1
Step 1: Find the prime factorization of 531
531 = 3 x 3 x 59
Step 2: Find the prime factorization of 539
539 = 7 x 7 x 11
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 531 and 539 is 1