Greatest Common Factor of 553 and 561

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 553, 561 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 553 and 561 is 1.

GCF(553,561) = 1

GCF of 553 and 561

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

GCF of:
and

Greatest Common Factor of 553 and 561

GCF of 553 and 561 is 1

Prime Factorization of 553


7 553
79 79
1

Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:

553 = 71×791

Prime Factorization of 561


3 561
11 187
17 17
1

Prime factors of 561 are 3,11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

∴ So by taking common prime factors GCF of 553 and 561 is 1

Greatest Common Factor of 553 and 561 by matching factors method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors and prime factorization of 553 and 561. The biggest common factor number is the GCF number.
So the greatest common factor 553 and 561 is 1.

Also check out the Least Common Multiple of 553 and 561

Properties of GCF 553 and 561

(i) The GCF of 553 and 561 is associative

GCF of 553 and 561 = GCF of 561 and 553

Related Greatest Common Factor of 553

Related Greatest Common Factor of 561

Frequently Asked Questions on GCF of 553 and 561

1. What is the GCF of 553 and 561?

Answer: GCF of 553 and 561 is 1.

2. What are the Factors of 553?

Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.

3. What are the Factors of 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

4. How to Find the GCF of 553 and 561?

Answer:

Greatest Common Factor of 553 and 561 = 1

Step 1: Find the prime factorization of 553

553 = 7 x 79

Step 2: Find the prime factorization of 561

561 = 3 x 11 x 17

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 553 and 561 is 1