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 535, 539 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 535 and 539 is 1.
GCF(535,539) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 535
5 | 535 |
107 | 107 |
1 |
Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:
535 = 51×1071
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 535 and 539 is 1
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
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 535 and 539. The biggest common factor number is the GCF number.
So the greatest common factor 535 and 539 is 1.
Also check out the Least Common Multiple of 535 and 539
(i) The GCF of 535 and 539 is associative
GCF of 535 and 539 = GCF of 539 and 535
1. What is the GCF of 535 and 539?
Answer: GCF of 535 and 539 is 1.
2. What are the Factors of 535?
Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.
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 535 and 539?
Answer:
Greatest Common Factor of 535 and 539 = 1
Step 1: Find the prime factorization of 535
535 = 5 x 107
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 535 and 539 is 1