Greatest Common Factor of 4 and 16

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

Greatest common factor (GCF) of 4 and 16 is 4.

GCF(4,16) = 4

GCF of 4 and 16

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

GCF of:
and

Greatest Common Factor of 4 and 16

GCF of 4 and 16 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 16


2 16
2 8
2 4
2 2
1

Prime factors of 16 are 2.Prime factorization of 16 in exponential form is:

16 = 24

∴ So by taking common prime factors GCF of 4 and 16 is 4

Greatest Common Factor of 4 and 16 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors and prime factorization of 4 and 16. The biggest common factor number is the GCF number.
So the greatest common factor 4 and 16 is 4.

Also check out the Least Common Multiple of 4 and 16

Properties of GCF 4 and 16

(i) The GCF of 4 and 16 is associative

GCF of 4 and 16 = GCF of 16 and 4

Related Greatest Common Factor of 4

Related Greatest Common Factor of 16

Frequently Asked Questions on GCF of 4 and 16

1. What is the GCF of 4 and 16?

Answer: GCF of 4 and 16 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 16?

Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.

4. How to Find the GCF of 4 and 16?

Answer:

Greatest Common Factor of 4 and 16 = 4

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 16

16 = 2 x 2 x 2 x 2

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 16 is 4