Greatest Common Factor of 8454 and 8457

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 8454, 8457 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8454 and 8457 is 3.

GCF(8454,8457) = 3

GCF of 8454 and 8457

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

GCF of:
and

Greatest Common Factor of 8454 and 8457

GCF of 8454 and 8457 is 3

Prime Factorization of 8454


2 8454
3 4227
1409 1409
1

Prime factors of 8454 are 2,3,1409. Prime factorization of 8454 in exponential form is:

8454 = 21×31×14091

Prime Factorization of 8457


3 8457
2819 2819
1

Prime factors of 8457 are 3,2819. Prime factorization of 8457 in exponential form is:

8457 = 31×28191

∴ So by taking common prime factors GCF of 8454 and 8457 is 3

Greatest Common Factor of 8454 and 8457 by matching factors method

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1,2,3,6,1409,2818,4227,8454

Factors of 8457

List of positive integer factors of 8457 that divides 8457 without a remainder.

1,3,2819,8457

Greatest Common Factor

We found the factors and prime factorization of 8454 and 8457. The biggest common factor number is the GCF number.
So the greatest common factor 8454 and 8457 is 3.

Also check out the Least Common Multiple of 8454 and 8457

Properties of GCF 8454 and 8457

(i) The GCF of 8454 and 8457 is associative

GCF of 8454 and 8457 = GCF of 8457 and 8454

Related Greatest Common Factor of 8454

Related Greatest Common Factor of 8457

Frequently Asked Questions on GCF of 8454 and 8457

1. What is the GCF of 8454 and 8457?

Answer: GCF of 8454 and 8457 is 3.

2. What are the Factors of 8454?

Answer: Factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454. There are 8 integers that are factors of 8454. The greatest factor of 8454 is 8454.

3. What are the Factors of 8457?

Answer: Factors of 8457 are 1, 3, 2819, 8457. There are 4 integers that are factors of 8457. The greatest factor of 8457 is 8457.

4. How to Find the GCF of 8454 and 8457?

Answer:

Greatest Common Factor of 8454 and 8457 = 3

Step 1: Find the prime factorization of 8454

8454 = 2 x 3 x 1409

Step 2: Find the prime factorization of 8457

8457 = 3 x 2819

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8454 and 8457 is 3