Greatest Common Factor of 8128 and 8132

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 8128, 8132 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8128 and 8132 is 4.

GCF(8128,8132) = 4

GCF of 8128 and 8132

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

GCF of:
and

Greatest Common Factor of 8128 and 8132

GCF of 8128 and 8132 is 4

Prime Factorization of 8128


2 8128
2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 8128 are 2,127. Prime factorization of 8128 in exponential form is:

8128 = 26×1271

Prime Factorization of 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2,19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

∴ So by taking common prime factors GCF of 8128 and 8132 is 4

Greatest Common Factor of 8128 and 8132 by matching factors method

Factors of 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Factors of 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1,2,4,19,38,76,107,214,428,2033,4066,8132

Greatest Common Factor

We found the factors and prime factorization of 8128 and 8132. The biggest common factor number is the GCF number.
So the greatest common factor 8128 and 8132 is 4.

Also check out the Least Common Multiple of 8128 and 8132

Properties of GCF 8128 and 8132

(i) The GCF of 8128 and 8132 is associative

GCF of 8128 and 8132 = GCF of 8132 and 8128

Related Greatest Common Factor of 8128

Related Greatest Common Factor of 8132

Frequently Asked Questions on GCF of 8128 and 8132

1. What is the GCF of 8128 and 8132?

Answer: GCF of 8128 and 8132 is 4.

2. What are the Factors of 8128?

Answer: Factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128. There are 14 integers that are factors of 8128. The greatest factor of 8128 is 8128.

3. What are the Factors of 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the GCF of 8128 and 8132?

Answer:

Greatest Common Factor of 8128 and 8132 = 4

Step 1: Find the prime factorization of 8128

8128 = 2 x 2 x 2 x 2 x 2 x 2 x 127

Step 2: Find the prime factorization of 8132

8132 = 2 x 2 x 19 x 107

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 8128 and 8132 is 4