Greatest Common Factor of 50 and 55

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 50, 55 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 50 and 55 is 5.

GCF(50,55) = 5

GCF of 50 and 55

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

GCF of:
and

Greatest Common Factor of 50 and 55

GCF of 50 and 55 is 5

Prime Factorization of 50


2 50
5 25
5 5
1

Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:

50 = 21×52

Prime Factorization of 55


5 55
11 11
1

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 51×111

∴ So by taking common prime factors GCF of 50 and 55 is 5

Greatest Common Factor of 50 and 55 by matching factors method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Greatest Common Factor

We found the factors and prime factorization of 50 and 55. The biggest common factor number is the GCF number.
So the greatest common factor 50 and 55 is 5.

Also check out the Least Common Multiple of 50 and 55

Properties of GCF 50 and 55

(i) The GCF of 50 and 55 is associative

GCF of 50 and 55 = GCF of 55 and 50

Related Greatest Common Factor of 50

Related Greatest Common Factor of 55

Frequently Asked Questions on GCF of 50 and 55

1. What is the GCF of 50 and 55?

Answer: GCF of 50 and 55 is 5.

2. What are the Factors of 50?

Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.

3. What are the Factors of 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the GCF of 50 and 55?

Answer:

Greatest Common Factor of 50 and 55 = 5

Step 1: Find the prime factorization of 50

50 = 2 x 5 x 5

Step 2: Find the prime factorization of 55

55 = 5 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 50 and 55 is 5