Greatest Common Factor of 22416 and 22421

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 22416, 22421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22416 and 22421 is 1.

GCF(22416,22421) = 1

GCF of 22416 and 22421

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

GCF of:
and

Greatest Common Factor of 22416 and 22421

GCF of 22416 and 22421 is 1

Prime Factorization of 22416


2 22416
2 11208
2 5604
2 2802
3 1401
467 467
1

Prime factors of 22416 are 2,3,467. Prime factorization of 22416 in exponential form is:

22416 = 24×31×4671

Prime Factorization of 22421


7 22421
3203 3203
1

Prime factors of 22421 are 7,3203. Prime factorization of 22421 in exponential form is:

22421 = 71×32031

∴ So by taking common prime factors GCF of 22416 and 22421 is 1

Greatest Common Factor of 22416 and 22421 by matching factors method

Factors of 22416

List of positive integer factors of 22416 that divides 22416 without a remainder.

1,2,3,4,6,8,12,16,24,48,467,934,1401,1868,2802,3736,5604,7472,11208,22416

Factors of 22421

List of positive integer factors of 22421 that divides 22421 without a remainder.

1,7,3203,22421

Greatest Common Factor

We found the factors and prime factorization of 22416 and 22421. The biggest common factor number is the GCF number.
So the greatest common factor 22416 and 22421 is 1.

Also check out the Least Common Multiple of 22416 and 22421

Properties of GCF 22416 and 22421

(i) The GCF of 22416 and 22421 is associative

GCF of 22416 and 22421 = GCF of 22421 and 22416

Related Greatest Common Factor of 22416

Related Greatest Common Factor of 22421

Frequently Asked Questions on GCF of 22416 and 22421

1. What is the GCF of 22416 and 22421?

Answer: GCF of 22416 and 22421 is 1.

2. What are the Factors of 22416?

Answer: Factors of 22416 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 22416. There are 20 integers that are factors of 22416. The greatest factor of 22416 is 22416.

3. What are the Factors of 22421?

Answer: Factors of 22421 are 1, 7, 3203, 22421. There are 4 integers that are factors of 22421. The greatest factor of 22421 is 22421.

4. How to Find the GCF of 22416 and 22421?

Answer:

Greatest Common Factor of 22416 and 22421 = 1

Step 1: Find the prime factorization of 22416

22416 = 2 x 2 x 2 x 2 x 3 x 467

Step 2: Find the prime factorization of 22421

22421 = 7 x 3203

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 22416 and 22421 is 1