Greatest Common Factor of 5525 and 5533

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, 5533 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5525 and 5533 is 1.

GCF(5525,5533) = 1

GCF of 5525 and 5533

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5525 and 5533

GCF of 5525 and 5533 is 1

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 5533


11 5533
503 503
1

Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:

5533 = 111×5031

∴ So by taking common prime factors GCF of 5525 and 5533 is 1

Greatest Common Factor of 5525 and 5533 by matching factors method

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 5533

List of positive integer factors of 5533 that divides 5533 without a remainder.

1,11,503,5533

Greatest Common Factor

We found the factors and prime factorization of 5525 and 5533. The biggest common factor number is the GCF number.
So the greatest common factor 5525 and 5533 is 1.

Also check out the Least Common Multiple of 5525 and 5533

Properties of GCF 5525 and 5533

(i) The GCF of 5525 and 5533 is associative

GCF of 5525 and 5533 = GCF of 5533 and 5525

Frequently Asked Questions on GCF of 5525 and 5533

1. What is the GCF of 5525 and 5533?

Answer: GCF of 5525 and 5533 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 5533?

Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.

4. How to Find the GCF of 5525 and 5533?

Answer:

Greatest Common Factor of 5525 and 5533 = 1

Step 1: Find the prime factorization of 5525

5525 = 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 5533

5533 = 11 x 503

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 5533 is 1