Greatest Common Factor of 1296 and 1297

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 1296, 1297 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1296 and 1297 is 1.

GCF(1296,1297) = 1

GCF of 1296 and 1297

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

GCF of:
and

Greatest Common Factor of 1296 and 1297

GCF of 1296 and 1297 is 1

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

Prime Factorization of 1297


1297 1297
1

Prime factors of 1297 are 1297. Prime factorization of 1297 in exponential form is:

1297 = 12971

∴ So by taking common prime factors GCF of 1296 and 1297 is 1

Greatest Common Factor of 1296 and 1297 by matching factors method

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

Factors of 1297

List of positive integer factors of 1297 that divides 1297 without a remainder.

1,1297

Greatest Common Factor

We found the factors and prime factorization of 1296 and 1297. The biggest common factor number is the GCF number.
So the greatest common factor 1296 and 1297 is 1.

Also check out the Least Common Multiple of 1296 and 1297

Properties of GCF 1296 and 1297

(i) The GCF of 1296 and 1297 is associative

GCF of 1296 and 1297 = GCF of 1297 and 1296

Related Greatest Common Factor of 1296

Related Greatest Common Factor of 1297

Frequently Asked Questions on GCF of 1296 and 1297

1. What is the GCF of 1296 and 1297?

Answer: GCF of 1296 and 1297 is 1.

2. 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.

3. What are the Factors of 1297?

Answer: Factors of 1297 are 1, 1297. There are 2 integers that are factors of 1297. The greatest factor of 1297 is 1297.

4. How to Find the GCF of 1296 and 1297?

Answer:

Greatest Common Factor of 1296 and 1297 = 1

Step 1: Find the prime factorization of 1296

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

Step 2: Find the prime factorization of 1297

1297 = 1297

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1296 and 1297 is 1