Greatest Common Factor of 4045 and 4050

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 4045, 4050 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4045 and 4050 is 5.

GCF(4045,4050) = 5

GCF of 4045 and 4050

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

GCF of:
and

Greatest Common Factor of 4045 and 4050

GCF of 4045 and 4050 is 5

Prime Factorization of 4045


5 4045
809 809
1

Prime factors of 4045 are 5,809. Prime factorization of 4045 in exponential form is:

4045 = 51×8091

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

∴ So by taking common prime factors GCF of 4045 and 4050 is 5

Greatest Common Factor of 4045 and 4050 by matching factors method

Factors of 4045

List of positive integer factors of 4045 that divides 4045 without a remainder.

1,5,809,4045

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

Greatest Common Factor

We found the factors and prime factorization of 4045 and 4050. The biggest common factor number is the GCF number.
So the greatest common factor 4045 and 4050 is 5.

Also check out the Least Common Multiple of 4045 and 4050

Properties of GCF 4045 and 4050

(i) The GCF of 4045 and 4050 is associative

GCF of 4045 and 4050 = GCF of 4050 and 4045

Related Greatest Common Factor of 4045

Related Greatest Common Factor of 4050

Frequently Asked Questions on GCF of 4045 and 4050

1. What is the GCF of 4045 and 4050?

Answer: GCF of 4045 and 4050 is 5.

2. What are the Factors of 4045?

Answer: Factors of 4045 are 1, 5, 809, 4045. There are 4 integers that are factors of 4045. The greatest factor of 4045 is 4045.

3. 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.

4. How to Find the GCF of 4045 and 4050?

Answer:

Greatest Common Factor of 4045 and 4050 = 5

Step 1: Find the prime factorization of 4045

4045 = 5 x 809

Step 2: Find the prime factorization of 4050

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

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 4045 and 4050 is 5