Greatest Common Factor of 553 and 560

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, 560 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 553 and 560 is 7.

GCF(553,560) = 7

GCF of 553 and 560

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

GCF of:
and

Greatest Common Factor of 553 and 560

GCF of 553 and 560 is 7

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 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2,5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

∴ So by taking common prime factors GCF of 553 and 560 is 7

Greatest Common Factor of 553 and 560 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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors and prime factorization of 553 and 560. The biggest common factor number is the GCF number.
So the greatest common factor 553 and 560 is 7.

Also check out the Least Common Multiple of 553 and 560

Properties of GCF 553 and 560

(i) The GCF of 553 and 560 is associative

GCF of 553 and 560 = GCF of 560 and 553

Related Greatest Common Factor of 553

Related Greatest Common Factor of 560

Frequently Asked Questions on GCF of 553 and 560

1. What is the GCF of 553 and 560?

Answer: GCF of 553 and 560 is 7.

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 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the GCF of 553 and 560?

Answer:

Greatest Common Factor of 553 and 560 = 7

Step 1: Find the prime factorization of 553

553 = 7 x 79

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 553 and 560 is 7