Greatest Common Factor of 555 and 557

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 555, 557 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 555 and 557 is 1.

GCF(555,557) = 1

GCF of 555 and 557

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

GCF of:
and

Greatest Common Factor of 555 and 557

GCF of 555 and 557 is 1

Prime Factorization of 555


3 555
5 185
37 37
1

Prime factors of 555 are 3,5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

Prime Factorization of 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

∴ So by taking common prime factors GCF of 555 and 557 is 1

Greatest Common Factor of 555 and 557 by matching factors method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors and prime factorization of 555 and 557. The biggest common factor number is the GCF number.
So the greatest common factor 555 and 557 is 1.

Also check out the Least Common Multiple of 555 and 557

Properties of GCF 555 and 557

(i) The GCF of 555 and 557 is associative

GCF of 555 and 557 = GCF of 557 and 555

Related Greatest Common Factor of 555

Related Greatest Common Factor of 557

Frequently Asked Questions on GCF of 555 and 557

1. What is the GCF of 555 and 557?

Answer: GCF of 555 and 557 is 1.

2. What are the Factors of 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

3. What are the Factors of 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

4. How to Find the GCF of 555 and 557?

Answer:

Greatest Common Factor of 555 and 557 = 1

Step 1: Find the prime factorization of 555

555 = 3 x 5 x 37

Step 2: Find the prime factorization of 557

557 = 557

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 555 and 557 is 1