Greatest Common Factor of 102 and 104

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 102, 104 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 102 and 104 is 2.

GCF(102,104) = 2

GCF of 102 and 104

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

GCF of:
and

Greatest Common Factor of 102 and 104

GCF of 102 and 104 is 2

Prime Factorization of 102


2 102
3 51
17 17
1

Prime factors of 102 are 2,3,17. Prime factorization of 102 in exponential form is:

102 = 21×31×171

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

∴ So by taking common prime factors GCF of 102 and 104 is 2

Greatest Common Factor of 102 and 104 by matching factors method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 104

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

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

Greatest Common Factor

We found the factors and prime factorization of 102 and 104. The biggest common factor number is the GCF number.
So the greatest common factor 102 and 104 is 2.

Also check out the Least Common Multiple of 102 and 104

Properties of GCF 102 and 104

(i) The GCF of 102 and 104 is associative

GCF of 102 and 104 = GCF of 104 and 102

Related Greatest Common Factor of 102

Related Greatest Common Factor of 104

Frequently Asked Questions on GCF of 102 and 104

1. What is the GCF of 102 and 104?

Answer: GCF of 102 and 104 is 2.

2. What are the Factors of 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

3. 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.

4. How to Find the GCF of 102 and 104?

Answer:

Greatest Common Factor of 102 and 104 = 2

Step 1: Find the prime factorization of 102

102 = 2 x 3 x 17

Step 2: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

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 102 and 104 is 2