Greatest Common Factor of 104 and 106

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 104, 106 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 104 and 106 is 2.

GCF(104,106) = 2

GCF of 104 and 106

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

GCF of:
and

Greatest Common Factor of 104 and 106

GCF of 104 and 106 is 2

Prime Factorization of 104


2 104
2 52
2 26
13 13
1

Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:

104 = 23×131

Prime Factorization of 106


2 106
53 53
1

Prime factors of 106 are 2,53. Prime factorization of 106 in exponential form is:

106 = 21×531

∴ So by taking common prime factors GCF of 104 and 106 is 2

Greatest Common Factor of 104 and 106 by matching factors method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors and prime factorization of 104 and 106. The biggest common factor number is the GCF number.
So the greatest common factor 104 and 106 is 2.

Also check out the Least Common Multiple of 104 and 106

Properties of GCF 104 and 106

(i) The GCF of 104 and 106 is associative

GCF of 104 and 106 = GCF of 106 and 104

Related Greatest Common Factor of 104

Related Greatest Common Factor of 106

Frequently Asked Questions on GCF of 104 and 106

1. What is the GCF of 104 and 106?

Answer: GCF of 104 and 106 is 2.

2. What are the Factors of 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

3. What are the Factors of 106?

Answer: Factors of 106 are 1, 2, 53, 106. There are 4 integers that are factors of 106. The greatest factor of 106 is 106.

4. How to Find the GCF of 104 and 106?

Answer:

Greatest Common Factor of 104 and 106 = 2

Step 1: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 106

106 = 2 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 104 and 106 is 2