Greatest Common Factor of 8412 and 8418

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 8412, 8418 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8412 and 8418 is 6.

GCF(8412,8418) = 6

GCF of 8412 and 8418

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

GCF of:
and

Greatest Common Factor of 8412 and 8418

GCF of 8412 and 8418 is 6

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

Prime Factorization of 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2,3,23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

∴ So by taking common prime factors GCF of 8412 and 8418 is 6

Greatest Common Factor of 8412 and 8418 by matching factors method

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

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Greatest Common Factor

We found the factors and prime factorization of 8412 and 8418. The biggest common factor number is the GCF number.
So the greatest common factor 8412 and 8418 is 6.

Also check out the Least Common Multiple of 8412 and 8418

Properties of GCF 8412 and 8418

(i) The GCF of 8412 and 8418 is associative

GCF of 8412 and 8418 = GCF of 8418 and 8412

Related Greatest Common Factor of 8412

Related Greatest Common Factor of 8418

Frequently Asked Questions on GCF of 8412 and 8418

1. What is the GCF of 8412 and 8418?

Answer: GCF of 8412 and 8418 is 6.

2. 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.

3. What are the Factors of 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

4. How to Find the GCF of 8412 and 8418?

Answer:

Greatest Common Factor of 8412 and 8418 = 6

Step 1: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

Step 2: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8412 and 8418 is 6