Greatest Common Factor of 4 and 22

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 4, 22 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4 and 22 is 2.

GCF(4,22) = 2

GCF of 4 and 22

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

GCF of:
and

Greatest Common Factor of 4 and 22

GCF of 4 and 22 is 2

Prime Factorization of 4


2 4
2 2
1

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Prime Factorization of 22


2 22
11 11
1

Prime factors of 22 are 2.Prime factorization of 22 in exponential form is:

22 = 21×111

∴ So by taking common prime factors GCF of 4 and 22 is 2

Greatest Common Factor of 4 and 22 by matching factors method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors and prime factorization of 4 and 22. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 22 is 2.

Also check out the Least Common Multiple of 4 and 22

Properties of GCF 4 and 22

(i) The GCF of 4 and 22 is associative

GCF of 4 and 22 = GCF of 22 and 4

Related Greatest Common Factor of 4

Related Greatest Common Factor of 22

Frequently Asked Questions on GCF of 4 and 22

1. What is the GCF of 4 and 22?

Answer: GCF of 4 and 22 is 2.

2. What are the Factors of 4?

Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

3. What are the Factors of 22?

Answer: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22.

4. How to Find the GCF of 4 and 22?

Answer:

Greatest Common Factor of 4 and 22 = 2

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 22

22 = 2 x 11

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 4 and 22 is 2