Greatest Common Factor of 1314 and 1322

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, 1322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1314 and 1322 is 2.

GCF(1314,1322) = 2

GCF of 1314 and 1322

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

GCF of:
and

Greatest Common Factor of 1314 and 1322

GCF of 1314 and 1322 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 1322


2 1322
661 661
1

Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:

1322 = 21×6611

∴ So by taking common prime factors GCF of 1314 and 1322 is 2

Greatest Common Factor of 1314 and 1322 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 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

Greatest Common Factor

We found the factors and prime factorization of 1314 and 1322. The biggest common factor number is the GCF number.
So the greatest common factor 1314 and 1322 is 2.

Also check out the Least Common Multiple of 1314 and 1322

Properties of GCF 1314 and 1322

(i) The GCF of 1314 and 1322 is associative

GCF of 1314 and 1322 = GCF of 1322 and 1314

Related Greatest Common Factor of 1314

Related Greatest Common Factor of 1322

Frequently Asked Questions on GCF of 1314 and 1322

1. What is the GCF of 1314 and 1322?

Answer: GCF of 1314 and 1322 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 1322?

Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.

4. How to Find the GCF of 1314 and 1322?

Answer:

Greatest Common Factor of 1314 and 1322 = 2

Step 1: Find the prime factorization of 1314

1314 = 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 1322

1322 = 2 x 661

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 1322 is 2