Greatest Common Factor of 3104 and 3112

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 3104, 3112 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3104 and 3112 is 8.

GCF(3104,3112) = 8

GCF of 3104 and 3112

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

GCF of:
and

Greatest Common Factor of 3104 and 3112

GCF of 3104 and 3112 is 8

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

Prime Factorization of 3112


2 3112
2 1556
2 778
389 389
1

Prime factors of 3112 are 2,389. Prime factorization of 3112 in exponential form is:

3112 = 23×3891

∴ So by taking common prime factors GCF of 3104 and 3112 is 8

Greatest Common Factor of 3104 and 3112 by matching factors method

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

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Greatest Common Factor

We found the factors and prime factorization of 3104 and 3112. The biggest common factor number is the GCF number.
So the greatest common factor 3104 and 3112 is 8.

Also check out the Least Common Multiple of 3104 and 3112

Properties of GCF 3104 and 3112

(i) The GCF of 3104 and 3112 is associative

GCF of 3104 and 3112 = GCF of 3112 and 3104

Related Greatest Common Factor of 3104

Related Greatest Common Factor of 3112

Frequently Asked Questions on GCF of 3104 and 3112

1. What is the GCF of 3104 and 3112?

Answer: GCF of 3104 and 3112 is 8.

2. 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.

3. What are the Factors of 3112?

Answer: Factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112. There are 8 integers that are factors of 3112. The greatest factor of 3112 is 3112.

4. How to Find the GCF of 3104 and 3112?

Answer:

Greatest Common Factor of 3104 and 3112 = 8

Step 1: Find the prime factorization of 3104

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

Step 2: Find the prime factorization of 3112

3112 = 2 x 2 x 2 x 389

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3104 and 3112 is 8