Greatest Common Factor of 8408 and 8412

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 8408, 8412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8408 and 8412 is 4.

GCF(8408,8412) = 4

GCF of 8408 and 8412

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

GCF of:
and

Greatest Common Factor of 8408 and 8412

GCF of 8408 and 8412 is 4

Prime Factorization of 8408


2 8408
2 4204
2 2102
1051 1051
1

Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:

8408 = 23×10511

Prime Factorization of 8412


2 8412
2 4206
3 2103
701 701
1

Prime factors of 8412 are 2,3,701. Prime factorization of 8412 in exponential form is:

8412 = 22×31×7011

∴ So by taking common prime factors GCF of 8408 and 8412 is 4

Greatest Common Factor of 8408 and 8412 by matching factors method

Factors of 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1,2,4,8,1051,2102,4204,8408

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors and prime factorization of 8408 and 8412. The biggest common factor number is the GCF number.
So the greatest common factor 8408 and 8412 is 4.

Also check out the Least Common Multiple of 8408 and 8412

Properties of GCF 8408 and 8412

(i) The GCF of 8408 and 8412 is associative

GCF of 8408 and 8412 = GCF of 8412 and 8408

Related Greatest Common Factor of 8408

Related Greatest Common Factor of 8412

Frequently Asked Questions on GCF of 8408 and 8412

1. What is the GCF of 8408 and 8412?

Answer: GCF of 8408 and 8412 is 4.

2. What are the Factors of 8408?

Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.

3. What are the Factors of 8412?

Answer: Factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412. There are 12 integers that are factors of 8412. The greatest factor of 8412 is 8412.

4. How to Find the GCF of 8408 and 8412?

Answer:

Greatest Common Factor of 8408 and 8412 = 4

Step 1: Find the prime factorization of 8408

8408 = 2 x 2 x 2 x 1051

Step 2: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8408 and 8412 is 4