Greatest Common Factor of 12416 and 12422

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 12416, 12422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12416 and 12422 is 2.

GCF(12416,12422) = 2

GCF of 12416 and 12422

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

GCF of:
and

Greatest Common Factor of 12416 and 12422

GCF of 12416 and 12422 is 2

Prime Factorization of 12416


2 12416
2 6208
2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 12416 are 2,97. Prime factorization of 12416 in exponential form is:

12416 = 27×971

Prime Factorization of 12422


2 12422
6211 6211
1

Prime factors of 12422 are 2,6211. Prime factorization of 12422 in exponential form is:

12422 = 21×62111

∴ So by taking common prime factors GCF of 12416 and 12422 is 2

Greatest Common Factor of 12416 and 12422 by matching factors method

Factors of 12416

List of positive integer factors of 12416 that divides 12416 without a remainder.

1,2,4,8,16,32,64,97,128,194,388,776,1552,3104,6208,12416

Factors of 12422

List of positive integer factors of 12422 that divides 12422 without a remainder.

1,2,6211,12422

Greatest Common Factor

We found the factors and prime factorization of 12416 and 12422. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12422 is 2.

Also check out the Least Common Multiple of 12416 and 12422

Properties of GCF 12416 and 12422

(i) The GCF of 12416 and 12422 is associative

GCF of 12416 and 12422 = GCF of 12422 and 12416

Related Greatest Common Factor of 12416

Related Greatest Common Factor of 12422

Frequently Asked Questions on GCF of 12416 and 12422

1. What is the GCF of 12416 and 12422?

Answer: GCF of 12416 and 12422 is 2.

2. What are the Factors of 12416?

Answer: Factors of 12416 are 1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208, 12416. There are 16 integers that are factors of 12416. The greatest factor of 12416 is 12416.

3. What are the Factors of 12422?

Answer: Factors of 12422 are 1, 2, 6211, 12422. There are 4 integers that are factors of 12422. The greatest factor of 12422 is 12422.

4. How to Find the GCF of 12416 and 12422?

Answer:

Greatest Common Factor of 12416 and 12422 = 2

Step 1: Find the prime factorization of 12416

12416 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 12422

12422 = 2 x 6211

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

GCF = 2

Step 4: Therefore, the greatest common factor of 12416 and 12422 is 2