Greatest Common Factor of 553 and 556

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

Greatest common factor (GCF) of 553 and 556 is 1.

GCF(553,556) = 1

GCF of 553 and 556

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

GCF of:
and

Greatest Common Factor of 553 and 556

GCF of 553 and 556 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 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

∴ So by taking common prime factors GCF of 553 and 556 is 1

Greatest Common Factor of 553 and 556 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 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors and prime factorization of 553 and 556. The biggest common factor number is the GCF number.
So the greatest common factor 553 and 556 is 1.

Also check out the Least Common Multiple of 553 and 556

Properties of GCF 553 and 556

(i) The GCF of 553 and 556 is associative

GCF of 553 and 556 = GCF of 556 and 553

Related Greatest Common Factor of 553

Related Greatest Common Factor of 556

Frequently Asked Questions on GCF of 553 and 556

1. What is the GCF of 553 and 556?

Answer: GCF of 553 and 556 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 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

4. How to Find the GCF of 553 and 556?

Answer:

Greatest Common Factor of 553 and 556 = 1

Step 1: Find the prime factorization of 553

553 = 7 x 79

Step 2: Find the prime factorization of 556

556 = 2 x 2 x 139

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 556 is 1