Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Greatest Common Factor of 20 and 56

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 20, 56 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20 and 56 is 4.

GCF(20,56) = 4

GCF of 20 and 56

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

GCF of:
and

Greatest Common Factor of 20 and 56 by Prime factorization method

Prime Factorization of 20


2 20
2 10
5 5
1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Prime Factorization of 56


2 56
2 28
2 14
7 7
1

Prime factors of 56 are 2,7. Prime factorization of 56 in exponential form is:

56 = 23×71

∴ So by taking common prime factors GCF of 20 and 56 is 4

Greatest Common Factor of 20 and 56 by matching factors method

Factors of 20

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

1,2,4,5,10,20

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors and prime factorization of 20 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 20 and 56 is 4.

Also check out the Least Common Multiple of 20 and 56

Properties of GCF 20 and 56

(i) The GCF of 20 and 56 is associative

GCF of 20 and 56 = GCF of 56 and 20

Frequently Asked Questions on GCF of 20 and 56

1. What is the GCF of 20 and 56?

Answer: GCF of 20 and 56 is 4.

2. 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.

3. What are the Factors of 56?

Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.

4. How to Find the GCF of 20 and 56?

Answer:

Greatest Common Factor of 20 and 56 = 4

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

Step 2: Find the prime factorization of 56

56 = 2 x 2 x 2 x 7

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 20 and 56 is 4