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 52905, 52913 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 52905 and 52913 is 1.
GCF(52905,52913) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 52905
3 | 52905 |
5 | 17635 |
3527 | 3527 |
1 |
Prime factors of 52905 are 3,5,3527. Prime factorization of 52905 in exponential form is:
52905 = 31×51×35271
Prime Factorization of 52913
7 | 52913 |
7559 | 7559 |
1 |
Prime factors of 52913 are 7,7559. Prime factorization of 52913 in exponential form is:
52913 = 71×75591
∴ So by taking common prime factors GCF of 52905 and 52913 is 1
Factors of 52905
List of positive integer factors of 52905 that divides 52905 without a remainder.
1,3,5,15,3527,10581,17635,52905
Factors of 52913
List of positive integer factors of 52913 that divides 52913 without a remainder.
1,7,7559,52913
Greatest Common Factor
We found the factors and prime factorization of 52905 and 52913. The biggest common factor number is the GCF number.
So the greatest common factor 52905 and 52913 is 1.
Also check out the Least Common Multiple of 52905 and 52913
(i) The GCF of 52905 and 52913 is associative
GCF of 52905 and 52913 = GCF of 52913 and 52905
1. What is the GCF of 52905 and 52913?
Answer: GCF of 52905 and 52913 is 1.
2. What are the Factors of 52905?
Answer: Factors of 52905 are 1, 3, 5, 15, 3527, 10581, 17635, 52905. There are 8 integers that are factors of 52905. The greatest factor of 52905 is 52905.
3. What are the Factors of 52913?
Answer: Factors of 52913 are 1, 7, 7559, 52913. There are 4 integers that are factors of 52913. The greatest factor of 52913 is 52913.
4. How to Find the GCF of 52905 and 52913?
Answer:
Greatest Common Factor of 52905 and 52913 = 1
Step 1: Find the prime factorization of 52905
52905 = 3 x 5 x 3527
Step 2: Find the prime factorization of 52913
52913 = 7 x 7559
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 52905 and 52913 is 1