Greatest Common Factor of 1256 and 1263

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 1256, 1263 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1256 and 1263 is 1.

GCF(1256,1263) = 1

GCF of 1256 and 1263

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

GCF of:
and

Greatest Common Factor of 1256 and 1263

GCF of 1256 and 1263 is 1

Prime Factorization of 1256


2 1256
2 628
2 314
157 157
1

Prime factors of 1256 are 2,157. Prime factorization of 1256 in exponential form is:

1256 = 23×1571

Prime Factorization of 1263


3 1263
421 421
1

Prime factors of 1263 are 3,421. Prime factorization of 1263 in exponential form is:

1263 = 31×4211

∴ So by taking common prime factors GCF of 1256 and 1263 is 1

Greatest Common Factor of 1256 and 1263 by matching factors method

Factors of 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1,2,4,8,157,314,628,1256

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1,3,421,1263

Greatest Common Factor

We found the factors and prime factorization of 1256 and 1263. The biggest common factor number is the GCF number.
So the greatest common factor 1256 and 1263 is 1.

Also check out the Least Common Multiple of 1256 and 1263

Properties of GCF 1256 and 1263

(i) The GCF of 1256 and 1263 is associative

GCF of 1256 and 1263 = GCF of 1263 and 1256

Related Greatest Common Factor of 1256

Related Greatest Common Factor of 1263

Frequently Asked Questions on GCF of 1256 and 1263

1. What is the GCF of 1256 and 1263?

Answer: GCF of 1256 and 1263 is 1.

2. What are the Factors of 1256?

Answer: Factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256. There are 8 integers that are factors of 1256. The greatest factor of 1256 is 1256.

3. What are the Factors of 1263?

Answer: Factors of 1263 are 1, 3, 421, 1263. There are 4 integers that are factors of 1263. The greatest factor of 1263 is 1263.

4. How to Find the GCF of 1256 and 1263?

Answer:

Greatest Common Factor of 1256 and 1263 = 1

Step 1: Find the prime factorization of 1256

1256 = 2 x 2 x 2 x 157

Step 2: Find the prime factorization of 1263

1263 = 3 x 421

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 1256 and 1263 is 1