Greatest Common Factor of 6104 and 6112

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 6104, 6112 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6104 and 6112 is 8.

GCF(6104,6112) = 8

GCF of 6104 and 6112

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

GCF of:
and

Greatest Common Factor of 6104 and 6112

GCF of 6104 and 6112 is 8

Prime Factorization of 6104


2 6104
2 3052
2 1526
7 763
109 109
1

Prime factors of 6104 are 2,7,109. Prime factorization of 6104 in exponential form is:

6104 = 23×71×1091

Prime Factorization of 6112


2 6112
2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 6112 are 2,191. Prime factorization of 6112 in exponential form is:

6112 = 25×1911

∴ So by taking common prime factors GCF of 6104 and 6112 is 8

Greatest Common Factor of 6104 and 6112 by matching factors method

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104

Factors of 6112

List of positive integer factors of 6112 that divides 6112 without a remainder.

1,2,4,8,16,32,191,382,764,1528,3056,6112

Greatest Common Factor

We found the factors and prime factorization of 6104 and 6112. The biggest common factor number is the GCF number.
So the greatest common factor 6104 and 6112 is 8.

Also check out the Least Common Multiple of 6104 and 6112

Properties of GCF 6104 and 6112

(i) The GCF of 6104 and 6112 is associative

GCF of 6104 and 6112 = GCF of 6112 and 6104

Related Greatest Common Factor of 6104

Related Greatest Common Factor of 6112

Frequently Asked Questions on GCF of 6104 and 6112

1. What is the GCF of 6104 and 6112?

Answer: GCF of 6104 and 6112 is 8.

2. What are the Factors of 6104?

Answer: Factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104. There are 16 integers that are factors of 6104. The greatest factor of 6104 is 6104.

3. What are the Factors of 6112?

Answer: Factors of 6112 are 1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112. There are 12 integers that are factors of 6112. The greatest factor of 6112 is 6112.

4. How to Find the GCF of 6104 and 6112?

Answer:

Greatest Common Factor of 6104 and 6112 = 8

Step 1: Find the prime factorization of 6104

6104 = 2 x 2 x 2 x 7 x 109

Step 2: Find the prime factorization of 6112

6112 = 2 x 2 x 2 x 2 x 2 x 191

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 6104 and 6112 is 8