Greatest Common Factor of 1305 and 1308

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 1305, 1308 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1305 and 1308 is 3.

GCF(1305,1308) = 3

GCF of 1305 and 1308

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

GCF of:
and

Greatest Common Factor of 1305 and 1308

GCF of 1305 and 1308 is 3

Prime Factorization of 1305


3 1305
3 435
5 145
29 29
1

Prime factors of 1305 are 3,5,29. Prime factorization of 1305 in exponential form is:

1305 = 32×51×291

Prime Factorization of 1308


2 1308
2 654
3 327
109 109
1

Prime factors of 1308 are 2,3,109. Prime factorization of 1308 in exponential form is:

1308 = 22×31×1091

∴ So by taking common prime factors GCF of 1305 and 1308 is 3

Greatest Common Factor of 1305 and 1308 by matching factors method

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1,3,5,9,15,29,45,87,145,261,435,1305

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors and prime factorization of 1305 and 1308. The biggest common factor number is the GCF number.
So the greatest common factor 1305 and 1308 is 3.

Also check out the Least Common Multiple of 1305 and 1308

Properties of GCF 1305 and 1308

(i) The GCF of 1305 and 1308 is associative

GCF of 1305 and 1308 = GCF of 1308 and 1305

Related Greatest Common Factor of 1305

Related Greatest Common Factor of 1308

Frequently Asked Questions on GCF of 1305 and 1308

1. What is the GCF of 1305 and 1308?

Answer: GCF of 1305 and 1308 is 3.

2. What are the Factors of 1305?

Answer: Factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305. There are 12 integers that are factors of 1305. The greatest factor of 1305 is 1305.

3. What are the Factors of 1308?

Answer: Factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308. There are 12 integers that are factors of 1308. The greatest factor of 1308 is 1308.

4. How to Find the GCF of 1305 and 1308?

Answer:

Greatest Common Factor of 1305 and 1308 = 3

Step 1: Find the prime factorization of 1305

1305 = 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 1308

1308 = 2 x 2 x 3 x 109

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1305 and 1308 is 3