Greatest Common Factor of 5509 and 5515

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 5509, 5515 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5509 and 5515 is 1.

GCF(5509,5515) = 1

GCF of 5509 and 5515

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

GCF of:
and

Greatest Common Factor of 5509 and 5515

GCF of 5509 and 5515 is 1

Prime Factorization of 5509


7 5509
787 787
1

Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:

5509 = 71×7871

Prime Factorization of 5515


5 5515
1103 1103
1

Prime factors of 5515 are 5,1103. Prime factorization of 5515 in exponential form is:

5515 = 51×11031

∴ So by taking common prime factors GCF of 5509 and 5515 is 1

Greatest Common Factor of 5509 and 5515 by matching factors method

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1,7,787,5509

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1,5,1103,5515

Greatest Common Factor

We found the factors and prime factorization of 5509 and 5515. The biggest common factor number is the GCF number.
So the greatest common factor 5509 and 5515 is 1.

Also check out the Least Common Multiple of 5509 and 5515

Properties of GCF 5509 and 5515

(i) The GCF of 5509 and 5515 is associative

GCF of 5509 and 5515 = GCF of 5515 and 5509

Related Greatest Common Factor of 5509

Related Greatest Common Factor of 5515

Frequently Asked Questions on GCF of 5509 and 5515

1. What is the GCF of 5509 and 5515?

Answer: GCF of 5509 and 5515 is 1.

2. What are the Factors of 5509?

Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.

3. What are the Factors of 5515?

Answer: Factors of 5515 are 1, 5, 1103, 5515. There are 4 integers that are factors of 5515. The greatest factor of 5515 is 5515.

4. How to Find the GCF of 5509 and 5515?

Answer:

Greatest Common Factor of 5509 and 5515 = 1

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

Step 2: Find the prime factorization of 5515

5515 = 5 x 1103

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 5509 and 5515 is 1