Greatest Common Factor of 1288 and 1292

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, 1292 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1288 and 1292 is 4.

GCF(1288,1292) = 4

GCF of 1288 and 1292

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

GCF of:
and

Greatest Common Factor of 1288 and 1292

GCF of 1288 and 1292 is 4

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 1292


2 1292
2 646
17 323
19 19
1

Prime factors of 1292 are 2,17,19. Prime factorization of 1292 in exponential form is:

1292 = 22×171×191

∴ So by taking common prime factors GCF of 1288 and 1292 is 4

Greatest Common Factor of 1288 and 1292 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 1292

List of positive integer factors of 1292 that divides 1292 without a remainder.

1,2,4,17,19,34,38,68,76,323,646,1292

Greatest Common Factor

We found the factors and prime factorization of 1288 and 1292. The biggest common factor number is the GCF number.
So the greatest common factor 1288 and 1292 is 4.

Also check out the Least Common Multiple of 1288 and 1292

Properties of GCF 1288 and 1292

(i) The GCF of 1288 and 1292 is associative

GCF of 1288 and 1292 = GCF of 1292 and 1288

Related Greatest Common Factor of 1288

Related Greatest Common Factor of 1292

Frequently Asked Questions on GCF of 1288 and 1292

1. What is the GCF of 1288 and 1292?

Answer: GCF of 1288 and 1292 is 4.

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 1292?

Answer: Factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292. There are 12 integers that are factors of 1292. The greatest factor of 1292 is 1292.

4. How to Find the GCF of 1288 and 1292?

Answer:

Greatest Common Factor of 1288 and 1292 = 4

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 1292

1292 = 2 x 2 x 17 x 19

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1288 and 1292 is 4