Greatest Common Factor of 3100 and 3104

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 3100, 3104 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3100 and 3104 is 4.

GCF(3100,3104) = 4

GCF of 3100 and 3104

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

GCF of:
and

Greatest Common Factor of 3100 and 3104

GCF of 3100 and 3104 is 4

Prime Factorization of 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2,5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

Prime Factorization of 3104


2 3104
2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 3104 are 2,97. Prime factorization of 3104 in exponential form is:

3104 = 25×971

∴ So by taking common prime factors GCF of 3100 and 3104 is 4

Greatest Common Factor of 3100 and 3104 by matching factors method

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1,2,4,8,16,32,97,194,388,776,1552,3104

Greatest Common Factor

We found the factors and prime factorization of 3100 and 3104. The biggest common factor number is the GCF number.
So the greatest common factor 3100 and 3104 is 4.

Also check out the Least Common Multiple of 3100 and 3104

Properties of GCF 3100 and 3104

(i) The GCF of 3100 and 3104 is associative

GCF of 3100 and 3104 = GCF of 3104 and 3100

Related Greatest Common Factor of 3100

Related Greatest Common Factor of 3104

Frequently Asked Questions on GCF of 3100 and 3104

1. What is the GCF of 3100 and 3104?

Answer: GCF of 3100 and 3104 is 4.

2. What are the Factors of 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

3. What are the Factors of 3104?

Answer: Factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104. There are 12 integers that are factors of 3104. The greatest factor of 3104 is 3104.

4. How to Find the GCF of 3100 and 3104?

Answer:

Greatest Common Factor of 3100 and 3104 = 4

Step 1: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 3104

3104 = 2 x 2 x 2 x 2 x 2 x 97

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 3100 and 3104 is 4