Greatest Common Factor of 302 and 307

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

Greatest common factor (GCF) of 302 and 307 is 1.

GCF(302,307) = 1

GCF of 302 and 307

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

GCF of:
and

Greatest Common Factor of 302 and 307

GCF of 302 and 307 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 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

∴ So by taking common prime factors GCF of 302 and 307 is 1

Greatest Common Factor of 302 and 307 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 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors and prime factorization of 302 and 307. The biggest common factor number is the GCF number.
So the greatest common factor 302 and 307 is 1.

Also check out the Least Common Multiple of 302 and 307

Properties of GCF 302 and 307

(i) The GCF of 302 and 307 is associative

GCF of 302 and 307 = GCF of 307 and 302

Related Greatest Common Factor of 302

Related Greatest Common Factor of 307

Frequently Asked Questions on GCF of 302 and 307

1. What is the GCF of 302 and 307?

Answer: GCF of 302 and 307 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 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

4. How to Find the GCF of 302 and 307?

Answer:

Greatest Common Factor of 302 and 307 = 1

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 307

307 = 307

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 307 is 1