Greatest Common Factor of 6503 and 6510

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 6503, 6510 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6503 and 6510 is 7.

GCF(6503,6510) = 7

GCF of 6503 and 6510

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

GCF of:
and

Greatest Common Factor of 6503 and 6510

GCF of 6503 and 6510 is 7

Prime Factorization of 6503


7 6503
929 929
1

Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:

6503 = 71×9291

Prime Factorization of 6510


2 6510
3 3255
5 1085
7 217
31 31
1

Prime factors of 6510 are 2,3,5,7,31. Prime factorization of 6510 in exponential form is:

6510 = 21×31×51×71×311

∴ So by taking common prime factors GCF of 6503 and 6510 is 7

Greatest Common Factor of 6503 and 6510 by matching factors method

Factors of 6503

List of positive integer factors of 6503 that divides 6503 without a remainder.

1,7,929,6503

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Greatest Common Factor

We found the factors and prime factorization of 6503 and 6510. The biggest common factor number is the GCF number.
So the greatest common factor 6503 and 6510 is 7.

Also check out the Least Common Multiple of 6503 and 6510

Properties of GCF 6503 and 6510

(i) The GCF of 6503 and 6510 is associative

GCF of 6503 and 6510 = GCF of 6510 and 6503

Related Greatest Common Factor of 6503

Related Greatest Common Factor of 6510

Frequently Asked Questions on GCF of 6503 and 6510

1. What is the GCF of 6503 and 6510?

Answer: GCF of 6503 and 6510 is 7.

2. What are the Factors of 6503?

Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.

3. What are the Factors of 6510?

Answer: Factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510. There are 32 integers that are factors of 6510. The greatest factor of 6510 is 6510.

4. How to Find the GCF of 6503 and 6510?

Answer:

Greatest Common Factor of 6503 and 6510 = 7

Step 1: Find the prime factorization of 6503

6503 = 7 x 929

Step 2: Find the prime factorization of 6510

6510 = 2 x 3 x 5 x 7 x 31

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 6503 and 6510 is 7