Greatest Common Factor of 1302 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 1302, 1308 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1302 and 1308 is 6.

GCF(1302,1308) = 6

GCF of 1302 and 1308

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

GCF of:
and

Greatest Common Factor of 1302 and 1308

GCF of 1302 and 1308 is 6

Prime Factorization of 1302


2 1302
3 651
7 217
31 31
1

Prime factors of 1302 are 2,3,7,31. Prime factorization of 1302 in exponential form is:

1302 = 21×31×71×311

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 1302 and 1308 is 6

Greatest Common Factor of 1302 and 1308 by matching factors method

Factors of 1302

List of positive integer factors of 1302 that divides 1302 without a remainder.

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

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 1302 and 1308. The biggest common factor number is the GCF number.
So the greatest common factor 1302 and 1308 is 6.

Also check out the Least Common Multiple of 1302 and 1308

Properties of GCF 1302 and 1308

(i) The GCF of 1302 and 1308 is associative

GCF of 1302 and 1308 = GCF of 1308 and 1302

Related Greatest Common Factor of 1302

Related Greatest Common Factor of 1308

Frequently Asked Questions on GCF of 1302 and 1308

1. What is the GCF of 1302 and 1308?

Answer: GCF of 1302 and 1308 is 6.

2. What are the Factors of 1302?

Answer: Factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302. There are 16 integers that are factors of 1302. The greatest factor of 1302 is 1302.

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 1302 and 1308?

Answer:

Greatest Common Factor of 1302 and 1308 = 6

Step 1: Find the prime factorization of 1302

1302 = 2 x 3 x 7 x 31

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 3 = 6

Step 4: Therefore, the greatest common factor of 1302 and 1308 is 6