Greatest Common Factor of 4100 and 4108

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 4100, 4108 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4100 and 4108 is 4.

GCF(4100,4108) = 4

GCF of 4100 and 4108

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

GCF of:
and

Greatest Common Factor of 4100 and 4108

GCF of 4100 and 4108 is 4

Prime Factorization of 4100


2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 4100 are 2,5,41. Prime factorization of 4100 in exponential form is:

4100 = 22×52×411

Prime Factorization of 4108


2 4108
2 2054
13 1027
79 79
1

Prime factors of 4108 are 2,13,79. Prime factorization of 4108 in exponential form is:

4108 = 22×131×791

∴ So by taking common prime factors GCF of 4100 and 4108 is 4

Greatest Common Factor of 4100 and 4108 by matching factors method

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors and prime factorization of 4100 and 4108. The biggest common factor number is the GCF number.
So the greatest common factor 4100 and 4108 is 4.

Also check out the Least Common Multiple of 4100 and 4108

Properties of GCF 4100 and 4108

(i) The GCF of 4100 and 4108 is associative

GCF of 4100 and 4108 = GCF of 4108 and 4100

Related Greatest Common Factor of 4100

Related Greatest Common Factor of 4108

Frequently Asked Questions on GCF of 4100 and 4108

1. What is the GCF of 4100 and 4108?

Answer: GCF of 4100 and 4108 is 4.

2. What are the Factors of 4100?

Answer: Factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100. There are 18 integers that are factors of 4100. The greatest factor of 4100 is 4100.

3. What are the Factors of 4108?

Answer: Factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108. There are 12 integers that are factors of 4108. The greatest factor of 4108 is 4108.

4. How to Find the GCF of 4100 and 4108?

Answer:

Greatest Common Factor of 4100 and 4108 = 4

Step 1: Find the prime factorization of 4100

4100 = 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 4108

4108 = 2 x 2 x 13 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4100 and 4108 is 4