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 5525, 5531 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5525 and 5531 is 1.
GCF(5525,5531) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5525
5 | 5525 |
5 | 1105 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 5525 are 5,13,17. Prime factorization of 5525 in exponential form is:
5525 = 52×131×171
Prime Factorization of 5531
5531 | 5531 |
1 |
Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:
5531 = 55311
∴ So by taking common prime factors GCF of 5525 and 5531 is 1
Factors of 5525
List of positive integer factors of 5525 that divides 5525 without a remainder.
1,5,13,17,25,65,85,221,325,425,1105,5525
Factors of 5531
List of positive integer factors of 5531 that divides 5531 without a remainder.
1,5531
Greatest Common Factor
We found the factors and prime factorization of 5525 and 5531. The biggest common factor number is the GCF number.
So the greatest common factor 5525 and 5531 is 1.
Also check out the Least Common Multiple of 5525 and 5531
(i) The GCF of 5525 and 5531 is associative
GCF of 5525 and 5531 = GCF of 5531 and 5525
1. What is the GCF of 5525 and 5531?
Answer: GCF of 5525 and 5531 is 1.
2. What are the Factors of 5525?
Answer: Factors of 5525 are 1, 5, 13, 17, 25, 65, 85, 221, 325, 425, 1105, 5525. There are 12 integers that are factors of 5525. The greatest factor of 5525 is 5525.
3. What are the Factors of 5531?
Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.
4. How to Find the GCF of 5525 and 5531?
Answer:
Greatest Common Factor of 5525 and 5531 = 1
Step 1: Find the prime factorization of 5525
5525 = 5 x 5 x 13 x 17
Step 2: Find the prime factorization of 5531
5531 = 5531
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 5525 and 5531 is 1