Greatest Common Factor of 8255 and 8263

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 8255, 8263 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8255 and 8263 is 1.

GCF(8255,8263) = 1

GCF of 8255 and 8263

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

GCF of:
and

Greatest Common Factor of 8255 and 8263

GCF of 8255 and 8263 is 1

Prime Factorization of 8255


5 8255
13 1651
127 127
1

Prime factors of 8255 are 5,13,127. Prime factorization of 8255 in exponential form is:

8255 = 51×131×1271

Prime Factorization of 8263


8263 8263
1

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 82631

∴ So by taking common prime factors GCF of 8255 and 8263 is 1

Greatest Common Factor of 8255 and 8263 by matching factors method

Factors of 8255

List of positive integer factors of 8255 that divides 8255 without a remainder.

1,5,13,65,127,635,1651,8255

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1,8263

Greatest Common Factor

We found the factors and prime factorization of 8255 and 8263. The biggest common factor number is the GCF number.
So the greatest common factor 8255 and 8263 is 1.

Also check out the Least Common Multiple of 8255 and 8263

Properties of GCF 8255 and 8263

(i) The GCF of 8255 and 8263 is associative

GCF of 8255 and 8263 = GCF of 8263 and 8255

Related Greatest Common Factor of 8255

Related Greatest Common Factor of 8263

Frequently Asked Questions on GCF of 8255 and 8263

1. What is the GCF of 8255 and 8263?

Answer: GCF of 8255 and 8263 is 1.

2. What are the Factors of 8255?

Answer: Factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255. There are 8 integers that are factors of 8255. The greatest factor of 8255 is 8255.

3. What are the Factors of 8263?

Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.

4. How to Find the GCF of 8255 and 8263?

Answer:

Greatest Common Factor of 8255 and 8263 = 1

Step 1: Find the prime factorization of 8255

8255 = 5 x 13 x 127

Step 2: Find the prime factorization of 8263

8263 = 8263

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 8255 and 8263 is 1