Greatest Common Factor of 6545 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 6545, 6552 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6545 and 6552 is 7.

GCF(6545,6552) = 7

GCF of 6545 and 6552

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

GCF of:
and

Greatest Common Factor of 6545 and 6552

GCF of 6545 and 6552 is 7

Prime Factorization of 6545


5 6545
7 1309
11 187
17 17
1

Prime factors of 6545 are 5,7,11,17. Prime factorization of 6545 in exponential form is:

6545 = 51×71×111×171

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 6545 and 6552 is 7

Greatest Common Factor of 6545 and 6552 by matching factors method

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545

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 6545 and 6552. The biggest common factor number is the GCF number.
So the greatest common factor 6545 and 6552 is 7.

Also check out the Least Common Multiple of 6545 and 6552

Properties of GCF 6545 and 6552

(i) The GCF of 6545 and 6552 is associative

GCF of 6545 and 6552 = GCF of 6552 and 6545

Related Greatest Common Factor of 6545

Related Greatest Common Factor of 6552

Frequently Asked Questions on GCF of 6545 and 6552

1. What is the GCF of 6545 and 6552?

Answer: GCF of 6545 and 6552 is 7.

2. What are the Factors of 6545?

Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.

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 6545 and 6552?

Answer:

Greatest Common Factor of 6545 and 6552 = 7

Step 1: Find the prime factorization of 6545

6545 = 5 x 7 x 11 x 17

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 = 7

Step 4: Therefore, the greatest common factor of 6545 and 6552 is 7