Greatest Common Factor of 1314 and 1316

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 1314, 1316 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1314 and 1316 is 2.

GCF(1314,1316) = 2

GCF of 1314 and 1316

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

GCF of:
and

Greatest Common Factor of 1314 and 1316

GCF of 1314 and 1316 is 2

Prime Factorization of 1314


2 1314
3 657
3 219
73 73
1

Prime factors of 1314 are 2,3,73. Prime factorization of 1314 in exponential form is:

1314 = 21×32×731

Prime Factorization of 1316


2 1316
2 658
7 329
47 47
1

Prime factors of 1316 are 2,7,47. Prime factorization of 1316 in exponential form is:

1316 = 22×71×471

∴ So by taking common prime factors GCF of 1314 and 1316 is 2

Greatest Common Factor of 1314 and 1316 by matching factors method

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Greatest Common Factor

We found the factors and prime factorization of 1314 and 1316. The biggest common factor number is the GCF number.
So the greatest common factor 1314 and 1316 is 2.

Also check out the Least Common Multiple of 1314 and 1316

Properties of GCF 1314 and 1316

(i) The GCF of 1314 and 1316 is associative

GCF of 1314 and 1316 = GCF of 1316 and 1314

Related Greatest Common Factor of 1314

Related Greatest Common Factor of 1316

Frequently Asked Questions on GCF of 1314 and 1316

1. What is the GCF of 1314 and 1316?

Answer: GCF of 1314 and 1316 is 2.

2. What are the Factors of 1314?

Answer: Factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314. There are 12 integers that are factors of 1314. The greatest factor of 1314 is 1314.

3. What are the Factors of 1316?

Answer: Factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316. There are 12 integers that are factors of 1316. The greatest factor of 1316 is 1316.

4. How to Find the GCF of 1314 and 1316?

Answer:

Greatest Common Factor of 1314 and 1316 = 2

Step 1: Find the prime factorization of 1314

1314 = 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 1316

1316 = 2 x 2 x 7 x 47

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 1314 and 1316 is 2