Greatest Common Factor of 31321 and 31328

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 31321, 31328 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31321 and 31328 is 1.

GCF(31321,31328) = 1

GCF of 31321 and 31328

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

GCF of:
and

Greatest Common Factor of 31321 and 31328

GCF of 31321 and 31328 is 1

Prime Factorization of 31321


31321 31321
1

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

31321 = 313211

Prime Factorization of 31328


2 31328
2 15664
2 7832
2 3916
2 1958
11 979
89 89
1

Prime factors of 31328 are 2.Prime factorization of 31328 in exponential form is:

31328 = 25×111×891

∴ So by taking common prime factors GCF of 31321 and 31328 is 1

Greatest Common Factor of 31321 and 31328 by matching factors method

Factors of 31321

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

1,31321

Factors of 31328

List of positive integer factors of 31328 that divides 31328 without a remainder.

1,2,4,8,11,16,22,32,44,88,89,176,178,352,356,712,979,1424,1958,2848,3916,7832,15664,31328

Greatest Common Factor

We found the factors and prime factorization of 31321 and 31328. The biggest common factor number is the GCF number.
So the greatest common factor 31321 and 31328 is 1.

Also check out the Least Common Multiple of 31321 and 31328

Properties of GCF 31321 and 31328

(i) The GCF of 31321 and 31328 is associative

GCF of 31321 and 31328 = GCF of 31328 and 31321

Related Greatest Common Factor of 31321

Related Greatest Common Factor of 31328

Frequently Asked Questions on GCF of 31321 and 31328

1. What is the GCF of 31321 and 31328?

Answer: GCF of 31321 and 31328 is 1.

2. 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.

3. What are the Factors of 31328?

Answer: Factors of 31328 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 89, 176, 178, 352, 356, 712, 979, 1424, 1958, 2848, 3916, 7832, 15664, 31328. There are 24 integers that are factors of 31328. The greatest factor of 31328 is 31328.

4. How to Find the GCF of 31321 and 31328?

Answer:

Greatest Common Factor of 31321 and 31328 = 1

Step 1: Find the prime factorization of 31321

31321 = 31321

Step 2: Find the prime factorization of 31328

31328 = 2 x 2 x 2 x 2 x 2 x 11 x 89

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 31321 and 31328 is 1