Greatest Common Factor of 4050 and 4055

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 4050, 4055 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4050 and 4055 is 5.

GCF(4050,4055) = 5

GCF of 4050 and 4055

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

GCF of:
and

Greatest Common Factor of 4050 and 4055

GCF of 4050 and 4055 is 5

Prime Factorization of 4050


2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 4050 are 2,3,5. Prime factorization of 4050 in exponential form is:

4050 = 21×34×52

Prime Factorization of 4055


5 4055
811 811
1

Prime factors of 4055 are 5,811. Prime factorization of 4055 in exponential form is:

4055 = 51×8111

∴ So by taking common prime factors GCF of 4050 and 4055 is 5

Greatest Common Factor of 4050 and 4055 by matching factors method

Factors of 4050

List of positive integer factors of 4050 that divides 4050 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050

Factors of 4055

List of positive integer factors of 4055 that divides 4055 without a remainder.

1,5,811,4055

Greatest Common Factor

We found the factors and prime factorization of 4050 and 4055. The biggest common factor number is the GCF number.
So the greatest common factor 4050 and 4055 is 5.

Also check out the Least Common Multiple of 4050 and 4055

Properties of GCF 4050 and 4055

(i) The GCF of 4050 and 4055 is associative

GCF of 4050 and 4055 = GCF of 4055 and 4050

Related Greatest Common Factor of 4050

Related Greatest Common Factor of 4055

Frequently Asked Questions on GCF of 4050 and 4055

1. What is the GCF of 4050 and 4055?

Answer: GCF of 4050 and 4055 is 5.

2. What are the Factors of 4050?

Answer: Factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050. There are 30 integers that are factors of 4050. The greatest factor of 4050 is 4050.

3. What are the Factors of 4055?

Answer: Factors of 4055 are 1, 5, 811, 4055. There are 4 integers that are factors of 4055. The greatest factor of 4055 is 4055.

4. How to Find the GCF of 4050 and 4055?

Answer:

Greatest Common Factor of 4050 and 4055 = 5

Step 1: Find the prime factorization of 4050

4050 = 2 x 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 4055

4055 = 5 x 811

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 4050 and 4055 is 5