Greatest Common Factor of 1505 and 1513

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, 1513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1505 and 1513 is 1.

GCF(1505,1513) = 1

GCF of 1505 and 1513

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

GCF of:
and

Greatest Common Factor of 1505 and 1513

GCF of 1505 and 1513 is 1

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 1513


17 1513
89 89
1

Prime factors of 1513 are 17,89. Prime factorization of 1513 in exponential form is:

1513 = 171×891

∴ So by taking common prime factors GCF of 1505 and 1513 is 1

Greatest Common Factor of 1505 and 1513 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 1513

List of positive integer factors of 1513 that divides 1513 without a remainder.

1,17,89,1513

Greatest Common Factor

We found the factors and prime factorization of 1505 and 1513. The biggest common factor number is the GCF number.
So the greatest common factor 1505 and 1513 is 1.

Also check out the Least Common Multiple of 1505 and 1513

Properties of GCF 1505 and 1513

(i) The GCF of 1505 and 1513 is associative

GCF of 1505 and 1513 = GCF of 1513 and 1505

Related Greatest Common Factor of 1505

Related Greatest Common Factor of 1513

Frequently Asked Questions on GCF of 1505 and 1513

1. What is the GCF of 1505 and 1513?

Answer: GCF of 1505 and 1513 is 1.

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 1513?

Answer: Factors of 1513 are 1, 17, 89, 1513. There are 4 integers that are factors of 1513. The greatest factor of 1513 is 1513.

4. How to Find the GCF of 1505 and 1513?

Answer:

Greatest Common Factor of 1505 and 1513 = 1

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1513

1513 = 17 x 89

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1505 and 1513 is 1