Greatest Common Factor of 1314 and 1320

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, 1320 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1314 and 1320 is 6.

GCF(1314,1320) = 6

GCF of 1314 and 1320

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

GCF of:
and

Greatest Common Factor of 1314 and 1320

GCF of 1314 and 1320 is 6

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 1320


2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 1320 are 2,3,5,11. Prime factorization of 1320 in exponential form is:

1320 = 23×31×51×111

∴ So by taking common prime factors GCF of 1314 and 1320 is 6

Greatest Common Factor of 1314 and 1320 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 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors and prime factorization of 1314 and 1320. The biggest common factor number is the GCF number.
So the greatest common factor 1314 and 1320 is 6.

Also check out the Least Common Multiple of 1314 and 1320

Properties of GCF 1314 and 1320

(i) The GCF of 1314 and 1320 is associative

GCF of 1314 and 1320 = GCF of 1320 and 1314

Related Greatest Common Factor of 1314

Related Greatest Common Factor of 1320

Frequently Asked Questions on GCF of 1314 and 1320

1. What is the GCF of 1314 and 1320?

Answer: GCF of 1314 and 1320 is 6.

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 1320?

Answer: Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. There are 32 integers that are factors of 1320. The greatest factor of 1320 is 1320.

4. How to Find the GCF of 1314 and 1320?

Answer:

Greatest Common Factor of 1314 and 1320 = 6

Step 1: Find the prime factorization of 1314

1314 = 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 1320

1320 = 2 x 2 x 2 x 3 x 5 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1314 and 1320 is 6