Greatest Common Factor of 31301 and 31309

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, 31309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31301 and 31309 is 1.

GCF(31301,31309) = 1

GCF of 31301 and 31309

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

GCF of:
and

Greatest Common Factor of 31301 and 31309

GCF of 31301 and 31309 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 31309


131 31309
239 239
1

Prime factors of 31309 are 131,239. Prime factorization of 31309 in exponential form is:

31309 = 1311×2391

∴ So by taking common prime factors GCF of 31301 and 31309 is 1

Greatest Common Factor of 31301 and 31309 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 31309

List of positive integer factors of 31309 that divides 31309 without a remainder.

1,131,239,31309

Greatest Common Factor

We found the factors and prime factorization of 31301 and 31309. The biggest common factor number is the GCF number.
So the greatest common factor 31301 and 31309 is 1.

Also check out the Least Common Multiple of 31301 and 31309

Properties of GCF 31301 and 31309

(i) The GCF of 31301 and 31309 is associative

GCF of 31301 and 31309 = GCF of 31309 and 31301

Related Greatest Common Factor of 31301

Related Greatest Common Factor of 31309

Frequently Asked Questions on GCF of 31301 and 31309

1. What is the GCF of 31301 and 31309?

Answer: GCF of 31301 and 31309 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 31309?

Answer: Factors of 31309 are 1, 131, 239, 31309. There are 4 integers that are factors of 31309. The greatest factor of 31309 is 31309.

4. How to Find the GCF of 31301 and 31309?

Answer:

Greatest Common Factor of 31301 and 31309 = 1

Step 1: Find the prime factorization of 31301

31301 = 113 x 277

Step 2: Find the prime factorization of 31309

31309 = 131 x 239

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 31309 is 1