Greatest Common Factor of 8144 and 8148

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 8144, 8148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8144 and 8148 is 4.

GCF(8144,8148) = 4

GCF of 8144 and 8148

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

GCF of:
and

Greatest Common Factor of 8144 and 8148

GCF of 8144 and 8148 is 4

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

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

∴ So by taking common prime factors GCF of 8144 and 8148 is 4

Greatest Common Factor of 8144 and 8148 by matching factors method

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

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

Greatest Common Factor

We found the factors and prime factorization of 8144 and 8148. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8148 is 4.

Also check out the Least Common Multiple of 8144 and 8148

Properties of GCF 8144 and 8148

(i) The GCF of 8144 and 8148 is associative

GCF of 8144 and 8148 = GCF of 8148 and 8144

Related Greatest Common Factor of 8144

Related Greatest Common Factor of 8148

Frequently Asked Questions on GCF of 8144 and 8148

1. What is the GCF of 8144 and 8148?

Answer: GCF of 8144 and 8148 is 4.

2. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

3. 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.

4. How to Find the GCF of 8144 and 8148?

Answer:

Greatest Common Factor of 8144 and 8148 = 4

Step 1: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

Step 2: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8144 and 8148 is 4