Greatest Common Factor of 8148 and 8154

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 8148, 8154 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8148 and 8154 is 6.

GCF(8148,8154) = 6

GCF of 8148 and 8154

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

GCF of:
and

Greatest Common Factor of 8148 and 8154

GCF of 8148 and 8154 is 6

Prime Factorization of 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2,3,7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

Prime Factorization of 8154


2 8154
3 4077
3 1359
3 453
151 151
1

Prime factors of 8154 are 2,3,151. Prime factorization of 8154 in exponential form is:

8154 = 21×33×1511

∴ So by taking common prime factors GCF of 8148 and 8154 is 6

Greatest Common Factor of 8148 and 8154 by matching factors method

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148

Factors of 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154

Greatest Common Factor

We found the factors and prime factorization of 8148 and 8154. The biggest common factor number is the GCF number.
So the greatest common factor 8148 and 8154 is 6.

Also check out the Least Common Multiple of 8148 and 8154

Properties of GCF 8148 and 8154

(i) The GCF of 8148 and 8154 is associative

GCF of 8148 and 8154 = GCF of 8154 and 8148

Related Greatest Common Factor of 8148

Related Greatest Common Factor of 8154

Frequently Asked Questions on GCF of 8148 and 8154

1. What is the GCF of 8148 and 8154?

Answer: GCF of 8148 and 8154 is 6.

2. What are the Factors of 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

3. What are the Factors of 8154?

Answer: Factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154. There are 16 integers that are factors of 8154. The greatest factor of 8154 is 8154.

4. How to Find the GCF of 8148 and 8154?

Answer:

Greatest Common Factor of 8148 and 8154 = 6

Step 1: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

Step 2: Find the prime factorization of 8154

8154 = 2 x 3 x 3 x 3 x 151

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8148 and 8154 is 6