Greatest Common Factor of 6552 and 6560

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 6552, 6560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6552 and 6560 is 8.

GCF(6552,6560) = 8

GCF of 6552 and 6560

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

GCF of:
and

Greatest Common Factor of 6552 and 6560

GCF of 6552 and 6560 is 8

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

Prime Factorization of 6560


2 6560
2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 6560 are 2,5,41. Prime factorization of 6560 in exponential form is:

6560 = 25×51×411

∴ So by taking common prime factors GCF of 6552 and 6560 is 8

Greatest Common Factor of 6552 and 6560 by matching factors method

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

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560

Greatest Common Factor

We found the factors and prime factorization of 6552 and 6560. The biggest common factor number is the GCF number.
So the greatest common factor 6552 and 6560 is 8.

Also check out the Least Common Multiple of 6552 and 6560

Properties of GCF 6552 and 6560

(i) The GCF of 6552 and 6560 is associative

GCF of 6552 and 6560 = GCF of 6560 and 6552

Related Greatest Common Factor of 6552

Related Greatest Common Factor of 6560

Frequently Asked Questions on GCF of 6552 and 6560

1. What is the GCF of 6552 and 6560?

Answer: GCF of 6552 and 6560 is 8.

2. 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.

3. What are the Factors of 6560?

Answer: Factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560. There are 24 integers that are factors of 6560. The greatest factor of 6560 is 6560.

4. How to Find the GCF of 6552 and 6560?

Answer:

Greatest Common Factor of 6552 and 6560 = 8

Step 1: Find the prime factorization of 6552

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

Step 2: Find the prime factorization of 6560

6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6552 and 6560 is 8