Greatest Common Factor of 4 and 20

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

Greatest common factor (GCF) of 4 and 20 is 4.

GCF(4,20) = 4

GCF of 4 and 20

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

GCF of:
and

Greatest Common Factor of 4 and 20

GCF of 4 and 20 is 4

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 20


2 20
2 10
5 5
1

Prime factors of 20 are 2.Prime factorization of 20 in exponential form is:

20 = 22×51

∴ So by taking common prime factors GCF of 4 and 20 is 4

Greatest Common Factor of 4 and 20 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors and prime factorization of 4 and 20. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 20 is 4.

Also check out the Least Common Multiple of 4 and 20

Properties of GCF 4 and 20

(i) The GCF of 4 and 20 is associative

GCF of 4 and 20 = GCF of 20 and 4

Frequently Asked Questions on GCF of 4 and 20

1. What is the GCF of 4 and 20?

Answer: GCF of 4 and 20 is 4.

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 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

4. How to Find the GCF of 4 and 20?

Answer:

Greatest Common Factor of 4 and 20 = 4

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 20

20 = 2 x 2 x 5

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4 and 20 is 4