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 6520, 6528 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6520 and 6528 is 8.
GCF(6520,6528) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6520
2 | 6520 |
2 | 3260 |
2 | 1630 |
5 | 815 |
163 | 163 |
1 |
Prime factors of 6520 are 2,5,163. Prime factorization of 6520 in exponential form is:
6520 = 23×51×1631
Prime Factorization of 6528
2 | 6528 |
2 | 3264 |
2 | 1632 |
2 | 816 |
2 | 408 |
2 | 204 |
2 | 102 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 6528 are 2,3,17. Prime factorization of 6528 in exponential form is:
6528 = 27×31×171
∴ So by taking common prime factors GCF of 6520 and 6528 is 8
Factors of 6520
List of positive integer factors of 6520 that divides 6520 without a remainder.
1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Factors of 6528
List of positive integer factors of 6528 that divides 6528 without a remainder.
1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors and prime factorization of 6520 and 6528. The biggest common factor number is the GCF number.
So the greatest common factor 6520 and 6528 is 8.
Also check out the Least Common Multiple of 6520 and 6528
(i) The GCF of 6520 and 6528 is associative
GCF of 6520 and 6528 = GCF of 6528 and 6520
1. What is the GCF of 6520 and 6528?
Answer: GCF of 6520 and 6528 is 8.
2. What are the Factors of 6520?
Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.
3. What are the Factors of 6528?
Answer: Factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528. There are 32 integers that are factors of 6528. The greatest factor of 6528 is 6528.
4. How to Find the GCF of 6520 and 6528?
Answer:
Greatest Common Factor of 6520 and 6528 = 8
Step 1: Find the prime factorization of 6520
6520 = 2 x 2 x 2 x 5 x 163
Step 2: Find the prime factorization of 6528
6528 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17
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 6520 and 6528 is 8