Greatest Common Factor of 1288 and 1291

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 1288, 1291 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1288 and 1291 is 1.

GCF(1288,1291) = 1

GCF of 1288 and 1291

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

GCF of:
and

Greatest Common Factor of 1288 and 1291

GCF of 1288 and 1291 is 1

Prime Factorization of 1288


2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 1288 are 2,7,23. Prime factorization of 1288 in exponential form is:

1288 = 23×71×231

Prime Factorization of 1291


1291 1291
1

Prime factors of 1291 are 1291. Prime factorization of 1291 in exponential form is:

1291 = 12911

∴ So by taking common prime factors GCF of 1288 and 1291 is 1

Greatest Common Factor of 1288 and 1291 by matching factors method

Factors of 1288

List of positive integer factors of 1288 that divides 1288 without a remainder.

1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288

Factors of 1291

List of positive integer factors of 1291 that divides 1291 without a remainder.

1,1291

Greatest Common Factor

We found the factors and prime factorization of 1288 and 1291. The biggest common factor number is the GCF number.
So the greatest common factor 1288 and 1291 is 1.

Also check out the Least Common Multiple of 1288 and 1291

Properties of GCF 1288 and 1291

(i) The GCF of 1288 and 1291 is associative

GCF of 1288 and 1291 = GCF of 1291 and 1288

Related Greatest Common Factor of 1288

Related Greatest Common Factor of 1291

Frequently Asked Questions on GCF of 1288 and 1291

1. What is the GCF of 1288 and 1291?

Answer: GCF of 1288 and 1291 is 1.

2. What are the Factors of 1288?

Answer: Factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288. There are 16 integers that are factors of 1288. The greatest factor of 1288 is 1288.

3. What are the Factors of 1291?

Answer: Factors of 1291 are 1, 1291. There are 2 integers that are factors of 1291. The greatest factor of 1291 is 1291.

4. How to Find the GCF of 1288 and 1291?

Answer:

Greatest Common Factor of 1288 and 1291 = 1

Step 1: Find the prime factorization of 1288

1288 = 2 x 2 x 2 x 7 x 23

Step 2: Find the prime factorization of 1291

1291 = 1291

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 1288 and 1291 is 1