Greatest Common Factor of 546 and 552

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, 552 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 546 and 552 is 6.

GCF(546,552) = 6

GCF of 546 and 552

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

GCF of:
and

Greatest Common Factor of 546 and 552

GCF of 546 and 552 is 6

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 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2,3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

∴ So by taking common prime factors GCF of 546 and 552 is 6

Greatest Common Factor of 546 and 552 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 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors and prime factorization of 546 and 552. The biggest common factor number is the GCF number.
So the greatest common factor 546 and 552 is 6.

Also check out the Least Common Multiple of 546 and 552

Properties of GCF 546 and 552

(i) The GCF of 546 and 552 is associative

GCF of 546 and 552 = GCF of 552 and 546

Related Greatest Common Factor of 546

Related Greatest Common Factor of 552

Frequently Asked Questions on GCF of 546 and 552

1. What is the GCF of 546 and 552?

Answer: GCF of 546 and 552 is 6.

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 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the GCF of 546 and 552?

Answer:

Greatest Common Factor of 546 and 552 = 6

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 546 and 552 is 6