Greatest Common Factor of 1508 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 1508, 1513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1508 and 1513 is 1.

GCF(1508,1513) = 1

GCF of 1508 and 1513

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

GCF of:
and

Greatest Common Factor of 1508 and 1513

GCF of 1508 and 1513 is 1

Prime Factorization of 1508


2 1508
2 754
13 377
29 29
1

Prime factors of 1508 are 2,13,29. Prime factorization of 1508 in exponential form is:

1508 = 22×131×291

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 1508 and 1513 is 1

Greatest Common Factor of 1508 and 1513 by matching factors method

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

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 1508 and 1513. The biggest common factor number is the GCF number.
So the greatest common factor 1508 and 1513 is 1.

Also check out the Least Common Multiple of 1508 and 1513

Properties of GCF 1508 and 1513

(i) The GCF of 1508 and 1513 is associative

GCF of 1508 and 1513 = GCF of 1513 and 1508

Frequently Asked Questions on GCF of 1508 and 1513

1. What is the GCF of 1508 and 1513?

Answer: GCF of 1508 and 1513 is 1.

2. What are the Factors of 1508?

Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.

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 1508 and 1513?

Answer:

Greatest Common Factor of 1508 and 1513 = 1

Step 1: Find the prime factorization of 1508

1508 = 2 x 2 x 13 x 29

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 1508 and 1513 is 1