Greatest Common Factor of 31301 and 31307

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 31301, 31307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31301 and 31307 is 1.

GCF(31301,31307) = 1

GCF of 31301 and 31307

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

GCF of:
and

Greatest Common Factor of 31301 and 31307

GCF of 31301 and 31307 is 1

Prime Factorization of 31301


113 31301
277 277
1

Prime factors of 31301 are 113,277. Prime factorization of 31301 in exponential form is:

31301 = 1131×2771

Prime Factorization of 31307


31307 31307
1

Prime factors of 31307 are 31307. Prime factorization of 31307 in exponential form is:

31307 = 313071

∴ So by taking common prime factors GCF of 31301 and 31307 is 1

Greatest Common Factor of 31301 and 31307 by matching factors method

Factors of 31301

List of positive integer factors of 31301 that divides 31301 without a remainder.

1,113,277,31301

Factors of 31307

List of positive integer factors of 31307 that divides 31307 without a remainder.

1,31307

Greatest Common Factor

We found the factors and prime factorization of 31301 and 31307. The biggest common factor number is the GCF number.
So the greatest common factor 31301 and 31307 is 1.

Also check out the Least Common Multiple of 31301 and 31307

Properties of GCF 31301 and 31307

(i) The GCF of 31301 and 31307 is associative

GCF of 31301 and 31307 = GCF of 31307 and 31301

Related Greatest Common Factor of 31301

Related Greatest Common Factor of 31307

Frequently Asked Questions on GCF of 31301 and 31307

1. What is the GCF of 31301 and 31307?

Answer: GCF of 31301 and 31307 is 1.

2. What are the Factors of 31301?

Answer: Factors of 31301 are 1, 113, 277, 31301. There are 4 integers that are factors of 31301. The greatest factor of 31301 is 31301.

3. What are the Factors of 31307?

Answer: Factors of 31307 are 1, 31307. There are 2 integers that are factors of 31307. The greatest factor of 31307 is 31307.

4. How to Find the GCF of 31301 and 31307?

Answer:

Greatest Common Factor of 31301 and 31307 = 1

Step 1: Find the prime factorization of 31301

31301 = 113 x 277

Step 2: Find the prime factorization of 31307

31307 = 31307

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 31301 and 31307 is 1