Greatest Common Factor of 10314 and 10316

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 10314, 10316 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10314 and 10316 is 2.

GCF(10314,10316) = 2

GCF of 10314 and 10316

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

GCF of:
and

Greatest Common Factor of 10314 and 10316

GCF of 10314 and 10316 is 2

Prime Factorization of 10314


2 10314
3 5157
3 1719
3 573
191 191
1

Prime factors of 10314 are 2,3,191. Prime factorization of 10314 in exponential form is:

10314 = 21×33×1911

Prime Factorization of 10316


2 10316
2 5158
2579 2579
1

Prime factors of 10316 are 2,2579. Prime factorization of 10316 in exponential form is:

10316 = 22×25791

∴ So by taking common prime factors GCF of 10314 and 10316 is 2

Greatest Common Factor of 10314 and 10316 by matching factors method

Factors of 10314

List of positive integer factors of 10314 that divides 10314 without a remainder.

1,2,3,6,9,18,27,54,191,382,573,1146,1719,3438,5157,10314

Factors of 10316

List of positive integer factors of 10316 that divides 10316 without a remainder.

1,2,4,2579,5158,10316

Greatest Common Factor

We found the factors and prime factorization of 10314 and 10316. The biggest common factor number is the GCF number.
So the greatest common factor 10314 and 10316 is 2.

Also check out the Least Common Multiple of 10314 and 10316

Properties of GCF 10314 and 10316

(i) The GCF of 10314 and 10316 is associative

GCF of 10314 and 10316 = GCF of 10316 and 10314

Related Greatest Common Factor of 10314

Related Greatest Common Factor of 10316

Frequently Asked Questions on GCF of 10314 and 10316

1. What is the GCF of 10314 and 10316?

Answer: GCF of 10314 and 10316 is 2.

2. What are the Factors of 10314?

Answer: Factors of 10314 are 1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157, 10314. There are 16 integers that are factors of 10314. The greatest factor of 10314 is 10314.

3. What are the Factors of 10316?

Answer: Factors of 10316 are 1, 2, 4, 2579, 5158, 10316. There are 6 integers that are factors of 10316. The greatest factor of 10316 is 10316.

4. How to Find the GCF of 10314 and 10316?

Answer:

Greatest Common Factor of 10314 and 10316 = 2

Step 1: Find the prime factorization of 10314

10314 = 2 x 3 x 3 x 3 x 191

Step 2: Find the prime factorization of 10316

10316 = 2 x 2 x 2579

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10314 and 10316 is 2