Greatest Common Factor of 8416 and 8421

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 8416, 8421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8416 and 8421 is 1.

GCF(8416,8421) = 1

GCF of 8416 and 8421

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

GCF of:
and

Greatest Common Factor of 8416 and 8421

GCF of 8416 and 8421 is 1

Prime Factorization of 8416


2 8416
2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 8416 are 2,263. Prime factorization of 8416 in exponential form is:

8416 = 25×2631

Prime Factorization of 8421


3 8421
7 2807
401 401
1

Prime factors of 8421 are 3,7,401. Prime factorization of 8421 in exponential form is:

8421 = 31×71×4011

∴ So by taking common prime factors GCF of 8416 and 8421 is 1

Greatest Common Factor of 8416 and 8421 by matching factors method

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors and prime factorization of 8416 and 8421. The biggest common factor number is the GCF number.
So the greatest common factor 8416 and 8421 is 1.

Also check out the Least Common Multiple of 8416 and 8421

Properties of GCF 8416 and 8421

(i) The GCF of 8416 and 8421 is associative

GCF of 8416 and 8421 = GCF of 8421 and 8416

Related Greatest Common Factor of 8416

Related Greatest Common Factor of 8421

Frequently Asked Questions on GCF of 8416 and 8421

1. What is the GCF of 8416 and 8421?

Answer: GCF of 8416 and 8421 is 1.

2. What are the Factors of 8416?

Answer: Factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416. There are 12 integers that are factors of 8416. The greatest factor of 8416 is 8416.

3. What are the Factors of 8421?

Answer: Factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421. There are 8 integers that are factors of 8421. The greatest factor of 8421 is 8421.

4. How to Find the GCF of 8416 and 8421?

Answer:

Greatest Common Factor of 8416 and 8421 = 1

Step 1: Find the prime factorization of 8416

8416 = 2 x 2 x 2 x 2 x 2 x 263

Step 2: Find the prime factorization of 8421

8421 = 3 x 7 x 401

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 8416 and 8421 is 1