Greatest Common Factor of 1505 and 1510

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 1505, 1510 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1505 and 1510 is 5.

GCF(1505,1510) = 5

GCF of 1505 and 1510

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

GCF of:
and

Greatest Common Factor of 1505 and 1510

GCF of 1505 and 1510 is 5

Prime Factorization of 1505


5 1505
7 301
43 43
1

Prime factors of 1505 are 5,7,43. Prime factorization of 1505 in exponential form is:

1505 = 51×71×431

Prime Factorization of 1510


2 1510
5 755
151 151
1

Prime factors of 1510 are 2,5,151. Prime factorization of 1510 in exponential form is:

1510 = 21×51×1511

∴ So by taking common prime factors GCF of 1505 and 1510 is 5

Greatest Common Factor of 1505 and 1510 by matching factors method

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Greatest Common Factor

We found the factors and prime factorization of 1505 and 1510. The biggest common factor number is the GCF number.
So the greatest common factor 1505 and 1510 is 5.

Also check out the Least Common Multiple of 1505 and 1510

Properties of GCF 1505 and 1510

(i) The GCF of 1505 and 1510 is associative

GCF of 1505 and 1510 = GCF of 1510 and 1505

Related Greatest Common Factor of 1505

Related Greatest Common Factor of 1510

Frequently Asked Questions on GCF of 1505 and 1510

1. What is the GCF of 1505 and 1510?

Answer: GCF of 1505 and 1510 is 5.

2. What are the Factors of 1505?

Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.

3. What are the Factors of 1510?

Answer: Factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510. There are 8 integers that are factors of 1510. The greatest factor of 1510 is 1510.

4. How to Find the GCF of 1505 and 1510?

Answer:

Greatest Common Factor of 1505 and 1510 = 5

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1510

1510 = 2 x 5 x 151

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1505 and 1510 is 5