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 6544, 6552 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6544 and 6552 is 8.
GCF(6544,6552) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6544
2 | 6544 |
2 | 3272 |
2 | 1636 |
2 | 818 |
409 | 409 |
1 |
Prime factors of 6544 are 2,409. Prime factorization of 6544 in exponential form is:
6544 = 24×4091
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 6544 and 6552 is 8
Factors of 6544
List of positive integer factors of 6544 that divides 6544 without a remainder.
1,2,4,8,16,409,818,1636,3272,6544
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 6544 and 6552. The biggest common factor number is the GCF number.
So the greatest common factor 6544 and 6552 is 8.
Also check out the Least Common Multiple of 6544 and 6552
(i) The GCF of 6544 and 6552 is associative
GCF of 6544 and 6552 = GCF of 6552 and 6544
1. What is the GCF of 6544 and 6552?
Answer: GCF of 6544 and 6552 is 8.
2. What are the Factors of 6544?
Answer: Factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544. There are 10 integers that are factors of 6544. The greatest factor of 6544 is 6544.
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 6544 and 6552?
Answer:
Greatest Common Factor of 6544 and 6552 = 8
Step 1: Find the prime factorization of 6544
6544 = 2 x 2 x 2 x 2 x 409
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 = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 6544 and 6552 is 8