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 536, 539 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 536 and 539 is 1.
GCF(536,539) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 536
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:
536 = 23×671
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 536 and 539 is 1
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
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 536 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 536 and 539 is 1.
Also check out the Least Common Multiple of 536 and 539
(i) The GCF of 536 and 539 is associative
GCF of 536 and 539 = GCF of 539 and 536
1. What is the GCF of 536 and 539?
Answer: GCF of 536 and 539 is 1.
2. What are the Factors of 536?
Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.
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 536 and 539?
Answer:
Greatest Common Factor of 536 and 539 = 1
Step 1: Find the prime factorization of 536
536 = 2 x 2 x 2 x 67
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 536 and 539 is 1