Greatest Common Factor of 6100 and 6108

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 6100, 6108 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6100 and 6108 is 4.

GCF(6100,6108) = 4

GCF of 6100 and 6108

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

GCF of:
and

Greatest Common Factor of 6100 and 6108

GCF of 6100 and 6108 is 4

Prime Factorization of 6100


2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 6100 are 2,5,61. Prime factorization of 6100 in exponential form is:

6100 = 22×52×611

Prime Factorization of 6108


2 6108
2 3054
3 1527
509 509
1

Prime factors of 6108 are 2,3,509. Prime factorization of 6108 in exponential form is:

6108 = 22×31×5091

∴ So by taking common prime factors GCF of 6100 and 6108 is 4

Greatest Common Factor of 6100 and 6108 by matching factors method

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Greatest Common Factor

We found the factors and prime factorization of 6100 and 6108. The biggest common factor number is the GCF number.
So the greatest common factor 6100 and 6108 is 4.

Also check out the Least Common Multiple of 6100 and 6108

Properties of GCF 6100 and 6108

(i) The GCF of 6100 and 6108 is associative

GCF of 6100 and 6108 = GCF of 6108 and 6100

Related Greatest Common Factor of 6100

Related Greatest Common Factor of 6108

Frequently Asked Questions on GCF of 6100 and 6108

1. What is the GCF of 6100 and 6108?

Answer: GCF of 6100 and 6108 is 4.

2. What are the Factors of 6100?

Answer: Factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100. There are 18 integers that are factors of 6100. The greatest factor of 6100 is 6100.

3. What are the Factors of 6108?

Answer: Factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108. There are 12 integers that are factors of 6108. The greatest factor of 6108 is 6108.

4. How to Find the GCF of 6100 and 6108?

Answer:

Greatest Common Factor of 6100 and 6108 = 4

Step 1: Find the prime factorization of 6100

6100 = 2 x 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 6108

6108 = 2 x 2 x 3 x 509

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 6100 and 6108 is 4