Greatest Common Factor of 546 and 551

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 546, 551 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 546 and 551 is 1.

GCF(546,551) = 1

GCF of 546 and 551

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

GCF of:
and

Greatest Common Factor of 546 and 551

GCF of 546 and 551 is 1

Prime Factorization of 546


2 546
3 273
7 91
13 13
1

Prime factors of 546 are 2,3,7,13. Prime factorization of 546 in exponential form is:

546 = 21×31×71×131

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

∴ So by taking common prime factors GCF of 546 and 551 is 1

Greatest Common Factor of 546 and 551 by matching factors method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors and prime factorization of 546 and 551. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 551 is 1.

Also check out the Least Common Multiple of 546 and 551

Properties of GCF 546 and 551

(i) The GCF of 546 and 551 is associative

GCF of 546 and 551 = GCF of 551 and 546

Related Greatest Common Factor of 546

Related Greatest Common Factor of 551

Frequently Asked Questions on GCF of 546 and 551

1. What is the GCF of 546 and 551?

Answer: GCF of 546 and 551 is 1.

2. What are the Factors of 546?

Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.

3. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the GCF of 546 and 551?

Answer:

Greatest Common Factor of 546 and 551 = 1

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 551

551 = 19 x 29

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 546 and 551 is 1