Greatest Common Factor of 4150 and 4155

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 4150, 4155 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4150 and 4155 is 5.

GCF(4150,4155) = 5

GCF of 4150 and 4155

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

GCF of:
and

Greatest Common Factor of 4150 and 4155

GCF of 4150 and 4155 is 5

Prime Factorization of 4150


2 4150
5 2075
5 415
83 83
1

Prime factors of 4150 are 2,5,83. Prime factorization of 4150 in exponential form is:

4150 = 21×52×831

Prime Factorization of 4155


3 4155
5 1385
277 277
1

Prime factors of 4155 are 3,5,277. Prime factorization of 4155 in exponential form is:

4155 = 31×51×2771

∴ So by taking common prime factors GCF of 4150 and 4155 is 5

Greatest Common Factor of 4150 and 4155 by matching factors method

Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1,2,5,10,25,50,83,166,415,830,2075,4150

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors and prime factorization of 4150 and 4155. The biggest common factor number is the GCF number.
So the greatest common factor 4150 and 4155 is 5.

Also check out the Least Common Multiple of 4150 and 4155

Properties of GCF 4150 and 4155

(i) The GCF of 4150 and 4155 is associative

GCF of 4150 and 4155 = GCF of 4155 and 4150

Related Greatest Common Factor of 4150

Related Greatest Common Factor of 4155

Frequently Asked Questions on GCF of 4150 and 4155

1. What is the GCF of 4150 and 4155?

Answer: GCF of 4150 and 4155 is 5.

2. What are the Factors of 4150?

Answer: Factors of 4150 are 1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150. There are 12 integers that are factors of 4150. The greatest factor of 4150 is 4150.

3. What are the Factors of 4155?

Answer: Factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155. There are 8 integers that are factors of 4155. The greatest factor of 4155 is 4155.

4. How to Find the GCF of 4150 and 4155?

Answer:

Greatest Common Factor of 4150 and 4155 = 5

Step 1: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

Step 2: Find the prime factorization of 4155

4155 = 3 x 5 x 277

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 4150 and 4155 is 5