Greatest Common Factor of 549 and 555

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 549, 555 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 549 and 555 is 3.

GCF(549,555) = 3

GCF of 549 and 555

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

GCF of:
and

Greatest Common Factor of 549 and 555

GCF of 549 and 555 is 3

Prime Factorization of 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

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

∴ So by taking common prime factors GCF of 549 and 555 is 3

Greatest Common Factor of 549 and 555 by matching factors method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 555

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

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

Greatest Common Factor

We found the factors and prime factorization of 549 and 555. The biggest common factor number is the GCF number.
So the greatest common factor 549 and 555 is 3.

Also check out the Least Common Multiple of 549 and 555

Properties of GCF 549 and 555

(i) The GCF of 549 and 555 is associative

GCF of 549 and 555 = GCF of 555 and 549

Related Greatest Common Factor of 549

Related Greatest Common Factor of 555

Frequently Asked Questions on GCF of 549 and 555

1. What is the GCF of 549 and 555?

Answer: GCF of 549 and 555 is 3.

2. What are the Factors of 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

3. 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.

4. How to Find the GCF of 549 and 555?

Answer:

Greatest Common Factor of 549 and 555 = 3

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

Step 2: Find the prime factorization of 555

555 = 3 x 5 x 37

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

GCF = 3

Step 4: Therefore, the greatest common factor of 549 and 555 is 3