Greatest Common Factor of 302 and 309

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 302, 309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 302 and 309 is 1.

GCF(302,309) = 1

GCF of 302 and 309

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

GCF of:
and

Greatest Common Factor of 302 and 309

GCF of 302 and 309 is 1

Prime Factorization of 302


2 302
151 151
1

Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:

302 = 21×1511

Prime Factorization of 309


3 309
103 103
1

Prime factors of 309 are 3,103. Prime factorization of 309 in exponential form is:

309 = 31×1031

∴ So by taking common prime factors GCF of 302 and 309 is 1

Greatest Common Factor of 302 and 309 by matching factors method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors and prime factorization of 302 and 309. The biggest common factor number is the GCF number.
So the greatest common factor 302 and 309 is 1.

Also check out the Least Common Multiple of 302 and 309

Properties of GCF 302 and 309

(i) The GCF of 302 and 309 is associative

GCF of 302 and 309 = GCF of 309 and 302

Related Greatest Common Factor of 302

Related Greatest Common Factor of 309

Frequently Asked Questions on GCF of 302 and 309

1. What is the GCF of 302 and 309?

Answer: GCF of 302 and 309 is 1.

2. What are the Factors of 302?

Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.

3. What are the Factors of 309?

Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.

4. How to Find the GCF of 302 and 309?

Answer:

Greatest Common Factor of 302 and 309 = 1

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 309

309 = 3 x 103

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 302 and 309 is 1