Greatest Common Factor of 31314 and 31321

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 31314, 31321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31314 and 31321 is 1.

GCF(31314,31321) = 1

GCF of 31314 and 31321

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

GCF of:
and

Greatest Common Factor of 31314 and 31321

GCF of 31314 and 31321 is 1

Prime Factorization of 31314


2 31314
3 15657
17 5219
307 307
1

Prime factors of 31314 are 2,3,17,307. Prime factorization of 31314 in exponential form is:

31314 = 21×31×171×3071

Prime Factorization of 31321


31321 31321
1

Prime factors of 31321 are 31321. Prime factorization of 31321 in exponential form is:

31321 = 313211

∴ So by taking common prime factors GCF of 31314 and 31321 is 1

Greatest Common Factor of 31314 and 31321 by matching factors method

Factors of 31314

List of positive integer factors of 31314 that divides 31314 without a remainder.

1,2,3,6,17,34,51,102,307,614,921,1842,5219,10438,15657,31314

Factors of 31321

List of positive integer factors of 31321 that divides 31321 without a remainder.

1,31321

Greatest Common Factor

We found the factors and prime factorization of 31314 and 31321. The biggest common factor number is the GCF number.
So the greatest common factor 31314 and 31321 is 1.

Also check out the Least Common Multiple of 31314 and 31321

Properties of GCF 31314 and 31321

(i) The GCF of 31314 and 31321 is associative

GCF of 31314 and 31321 = GCF of 31321 and 31314

Related Greatest Common Factor of 31314

Related Greatest Common Factor of 31321

Frequently Asked Questions on GCF of 31314 and 31321

1. What is the GCF of 31314 and 31321?

Answer: GCF of 31314 and 31321 is 1.

2. What are the Factors of 31314?

Answer: Factors of 31314 are 1, 2, 3, 6, 17, 34, 51, 102, 307, 614, 921, 1842, 5219, 10438, 15657, 31314. There are 16 integers that are factors of 31314. The greatest factor of 31314 is 31314.

3. What are the Factors of 31321?

Answer: Factors of 31321 are 1, 31321. There are 2 integers that are factors of 31321. The greatest factor of 31321 is 31321.

4. How to Find the GCF of 31314 and 31321?

Answer:

Greatest Common Factor of 31314 and 31321 = 1

Step 1: Find the prime factorization of 31314

31314 = 2 x 3 x 17 x 307

Step 2: Find the prime factorization of 31321

31321 = 31321

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 31314 and 31321 is 1