Greatest Common Factor of 22421 and 22428

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 22421, 22428 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22421 and 22428 is 7.

GCF(22421,22428) = 7

GCF of 22421 and 22428

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

GCF of:
and

Greatest Common Factor of 22421 and 22428

GCF of 22421 and 22428 is 7

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

Prime Factorization of 22428


2 22428
2 11214
3 5607
3 1869
7 623
89 89
1

Prime factors of 22428 are 2,3,7,89. Prime factorization of 22428 in exponential form is:

22428 = 22×32×71×891

∴ So by taking common prime factors GCF of 22421 and 22428 is 7

Greatest Common Factor of 22421 and 22428 by matching factors method

Factors of 22421

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

1,7,3203,22421

Factors of 22428

List of positive integer factors of 22428 that divides 22428 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,89,126,178,252,267,356,534,623,801,1068,1246,1602,1869,2492,3204,3738,5607,7476,11214,22428

Greatest Common Factor

We found the factors and prime factorization of 22421 and 22428. The biggest common factor number is the GCF number.
So the greatest common factor 22421 and 22428 is 7.

Also check out the Least Common Multiple of 22421 and 22428

Properties of GCF 22421 and 22428

(i) The GCF of 22421 and 22428 is associative

GCF of 22421 and 22428 = GCF of 22428 and 22421

Related Greatest Common Factor of 22421

Related Greatest Common Factor of 22428

Frequently Asked Questions on GCF of 22421 and 22428

1. What is the GCF of 22421 and 22428?

Answer: GCF of 22421 and 22428 is 7.

2. 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.

3. What are the Factors of 22428?

Answer: Factors of 22428 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 89, 126, 178, 252, 267, 356, 534, 623, 801, 1068, 1246, 1602, 1869, 2492, 3204, 3738, 5607, 7476, 11214, 22428. There are 36 integers that are factors of 22428. The greatest factor of 22428 is 22428.

4. How to Find the GCF of 22421 and 22428?

Answer:

Greatest Common Factor of 22421 and 22428 = 7

Step 1: Find the prime factorization of 22421

22421 = 7 x 3203

Step 2: Find the prime factorization of 22428

22428 = 2 x 2 x 3 x 3 x 7 x 89

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

GCF = 7

Step 4: Therefore, the greatest common factor of 22421 and 22428 is 7