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 539, 544 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 539 and 544 is 1.
GCF(539,544) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 544
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:
544 = 25×171
∴ So by taking common prime factors GCF of 539 and 544 is 1
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors and prime factorization of 539 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 539 and 544 is 1.
Also check out the Least Common Multiple of 539 and 544
(i) The GCF of 539 and 544 is associative
GCF of 539 and 544 = GCF of 544 and 539
1. What is the GCF of 539 and 544?
Answer: GCF of 539 and 544 is 1.
2. 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.
3. What are the Factors of 544?
Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.
4. How to Find the GCF of 539 and 544?
Answer:
Greatest Common Factor of 539 and 544 = 1
Step 1: Find the prime factorization of 539
539 = 7 x 7 x 11
Step 2: Find the prime factorization of 544
544 = 2 x 2 x 2 x 2 x 2 x 17
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 539 and 544 is 1