Greatest Common Factor of 12416 and 12421

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, 12421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12416 and 12421 is 1.

GCF(12416,12421) = 1

GCF of 12416 and 12421

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

GCF of:
and

Greatest Common Factor of 12416 and 12421

GCF of 12416 and 12421 is 1

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 12421


12421 12421
1

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 124211

∴ So by taking common prime factors GCF of 12416 and 12421 is 1

Greatest Common Factor of 12416 and 12421 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 12421

List of positive integer factors of 12421 that divides 12421 without a remainder.

1,12421

Greatest Common Factor

We found the factors and prime factorization of 12416 and 12421. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12421 is 1.

Also check out the Least Common Multiple of 12416 and 12421

Properties of GCF 12416 and 12421

(i) The GCF of 12416 and 12421 is associative

GCF of 12416 and 12421 = GCF of 12421 and 12416

Related Greatest Common Factor of 12416

Related Greatest Common Factor of 12421

Frequently Asked Questions on GCF of 12416 and 12421

1. What is the GCF of 12416 and 12421?

Answer: GCF of 12416 and 12421 is 1.

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 12421?

Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.

4. How to Find the GCF of 12416 and 12421?

Answer:

Greatest Common Factor of 12416 and 12421 = 1

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 12421

12421 = 12421

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 12416 and 12421 is 1