Greatest Common Factor of 4146 and 4150

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 4146, 4150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4146 and 4150 is 2.

GCF(4146,4150) = 2

GCF of 4146 and 4150

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

GCF of:
and

Greatest Common Factor of 4146 and 4150

GCF of 4146 and 4150 is 2

Prime Factorization of 4146


2 4146
3 2073
691 691
1

Prime factors of 4146 are 2,3,691. Prime factorization of 4146 in exponential form is:

4146 = 21×31×6911

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

∴ So by taking common prime factors GCF of 4146 and 4150 is 2

Greatest Common Factor of 4146 and 4150 by matching factors method

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

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

Greatest Common Factor

We found the factors and prime factorization of 4146 and 4150. The biggest common factor number is the GCF number.
So the greatest common factor 4146 and 4150 is 2.

Also check out the Least Common Multiple of 4146 and 4150

Properties of GCF 4146 and 4150

(i) The GCF of 4146 and 4150 is associative

GCF of 4146 and 4150 = GCF of 4150 and 4146

Related Greatest Common Factor of 4146

Related Greatest Common Factor of 4150

Frequently Asked Questions on GCF of 4146 and 4150

1. What is the GCF of 4146 and 4150?

Answer: GCF of 4146 and 4150 is 2.

2. What are the Factors of 4146?

Answer: Factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146. There are 8 integers that are factors of 4146. The greatest factor of 4146 is 4146.

3. 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.

4. How to Find the GCF of 4146 and 4150?

Answer:

Greatest Common Factor of 4146 and 4150 = 2

Step 1: Find the prime factorization of 4146

4146 = 2 x 3 x 691

Step 2: Find the prime factorization of 4150

4150 = 2 x 5 x 5 x 83

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4146 and 4150 is 2