Greatest Common Factor of 6549 and 6552

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 6549, 6552 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6549 and 6552 is 3.

GCF(6549,6552) = 3

GCF of 6549 and 6552

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

GCF of:
and

Greatest Common Factor of 6549 and 6552

GCF of 6549 and 6552 is 3

Prime Factorization of 6549


3 6549
37 2183
59 59
1

Prime factors of 6549 are 3,37,59. Prime factorization of 6549 in exponential form is:

6549 = 31×371×591

Prime Factorization of 6552


2 6552
2 3276
2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 6552 are 2,3,7,13. Prime factorization of 6552 in exponential form is:

6552 = 23×32×71×131

∴ So by taking common prime factors GCF of 6549 and 6552 is 3

Greatest Common Factor of 6549 and 6552 by matching factors method

Factors of 6549

List of positive integer factors of 6549 that divides 6549 without a remainder.

1,3,37,59,111,177,2183,6549

Factors of 6552

List of positive integer factors of 6552 that divides 6552 without a remainder.

1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552

Greatest Common Factor

We found the factors and prime factorization of 6549 and 6552. The biggest common factor number is the GCF number.
So the greatest common factor 6549 and 6552 is 3.

Also check out the Least Common Multiple of 6549 and 6552

Properties of GCF 6549 and 6552

(i) The GCF of 6549 and 6552 is associative

GCF of 6549 and 6552 = GCF of 6552 and 6549

Related Greatest Common Factor of 6549

Related Greatest Common Factor of 6552

Frequently Asked Questions on GCF of 6549 and 6552

1. What is the GCF of 6549 and 6552?

Answer: GCF of 6549 and 6552 is 3.

2. What are the Factors of 6549?

Answer: Factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549. There are 8 integers that are factors of 6549. The greatest factor of 6549 is 6549.

3. What are the Factors of 6552?

Answer: Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. There are 48 integers that are factors of 6552. The greatest factor of 6552 is 6552.

4. How to Find the GCF of 6549 and 6552?

Answer:

Greatest Common Factor of 6549 and 6552 = 3

Step 1: Find the prime factorization of 6549

6549 = 3 x 37 x 59

Step 2: Find the prime factorization of 6552

6552 = 2 x 2 x 2 x 3 x 3 x 7 x 13

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 6549 and 6552 is 3