Greatest Common Factor of 1294 and 1296

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 1294, 1296 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1294 and 1296 is 2.

GCF(1294,1296) = 2

GCF of 1294 and 1296

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

GCF of:
and

Greatest Common Factor of 1294 and 1296

GCF of 1294 and 1296 is 2

Prime Factorization of 1294


2 1294
647 647
1

Prime factors of 1294 are 2,647. Prime factorization of 1294 in exponential form is:

1294 = 21×6471

Prime Factorization of 1296


2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 1296 are 2,3. Prime factorization of 1296 in exponential form is:

1296 = 24×34

∴ So by taking common prime factors GCF of 1294 and 1296 is 2

Greatest Common Factor of 1294 and 1296 by matching factors method

Factors of 1294

List of positive integer factors of 1294 that divides 1294 without a remainder.

1,2,647,1294

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Greatest Common Factor

We found the factors and prime factorization of 1294 and 1296. The biggest common factor number is the GCF number.
So the greatest common factor 1294 and 1296 is 2.

Also check out the Least Common Multiple of 1294 and 1296

Properties of GCF 1294 and 1296

(i) The GCF of 1294 and 1296 is associative

GCF of 1294 and 1296 = GCF of 1296 and 1294

Related Greatest Common Factor of 1294

Related Greatest Common Factor of 1296

Frequently Asked Questions on GCF of 1294 and 1296

1. What is the GCF of 1294 and 1296?

Answer: GCF of 1294 and 1296 is 2.

2. What are the Factors of 1294?

Answer: Factors of 1294 are 1, 2, 647, 1294. There are 4 integers that are factors of 1294. The greatest factor of 1294 is 1294.

3. What are the Factors of 1296?

Answer: Factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296. There are 25 integers that are factors of 1296. The greatest factor of 1296 is 1296.

4. How to Find the GCF of 1294 and 1296?

Answer:

Greatest Common Factor of 1294 and 1296 = 2

Step 1: Find the prime factorization of 1294

1294 = 2 x 647

Step 2: Find the prime factorization of 1296

1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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 1294 and 1296 is 2