Greatest Common Factor of 1300 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 1300, 1308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1300 and 1308 is 4.

GCF(1300,1308) = 4

GCF of 1300 and 1308

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

GCF of:
and

Greatest Common Factor of 1300 and 1308

GCF of 1300 and 1308 is 4

Prime Factorization of 1300


2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 1300 are 2,5,13. Prime factorization of 1300 in exponential form is:

1300 = 22×52×131

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 1300 and 1308 is 4

Greatest Common Factor of 1300 and 1308 by matching factors method

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

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 1300 and 1308. The biggest common factor number is the GCF number.
So the greatest common factor 1300 and 1308 is 4.

Also check out the Least Common Multiple of 1300 and 1308

Properties of GCF 1300 and 1308

(i) The GCF of 1300 and 1308 is associative

GCF of 1300 and 1308 = GCF of 1308 and 1300

Related Greatest Common Factor of 1300

Related Greatest Common Factor of 1308

Frequently Asked Questions on GCF of 1300 and 1308

1. What is the GCF of 1300 and 1308?

Answer: GCF of 1300 and 1308 is 4.

2. What are the Factors of 1300?

Answer: Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300. There are 18 integers that are factors of 1300. The greatest factor of 1300 is 1300.

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 1300 and 1308?

Answer:

Greatest Common Factor of 1300 and 1308 = 4

Step 1: Find the prime factorization of 1300

1300 = 2 x 2 x 5 x 5 x 13

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1300 and 1308 is 4