Greatest Common Factor of 8273 and 8277

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 8273, 8277 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8273 and 8277 is 1.

GCF(8273,8277) = 1

GCF of 8273 and 8277

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

GCF of:
and

Greatest Common Factor of 8273 and 8277

GCF of 8273 and 8277 is 1

Prime Factorization of 8273


8273 8273
1

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 82731

Prime Factorization of 8277


3 8277
31 2759
89 89
1

Prime factors of 8277 are 3.Prime factorization of 8277 in exponential form is:

8277 = 31×311×891

∴ So by taking common prime factors GCF of 8273 and 8277 is 1

Greatest Common Factor of 8273 and 8277 by matching factors method

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1,8273

Factors of 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1,3,31,89,93,267,2759,8277

Greatest Common Factor

We found the factors and prime factorization of 8273 and 8277. The biggest common factor number is the GCF number.
So the greatest common factor 8273 and 8277 is 1.

Also check out the Least Common Multiple of 8273 and 8277

Properties of GCF 8273 and 8277

(i) The GCF of 8273 and 8277 is associative

GCF of 8273 and 8277 = GCF of 8277 and 8273

Related Greatest Common Factor of 8273

Related Greatest Common Factor of 8277

Frequently Asked Questions on GCF of 8273 and 8277

1. What is the GCF of 8273 and 8277?

Answer: GCF of 8273 and 8277 is 1.

2. What are the Factors of 8273?

Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.

3. What are the Factors of 8277?

Answer: Factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277. There are 8 integers that are factors of 8277. The greatest factor of 8277 is 8277.

4. How to Find the GCF of 8273 and 8277?

Answer:

Greatest Common Factor of 8273 and 8277 = 1

Step 1: Find the prime factorization of 8273

8273 = 8273

Step 2: Find the prime factorization of 8277

8277 = 3 x 31 x 89

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 8273 and 8277 is 1