Greatest Common Factor of 8124 and 8128

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 8124, 8128 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8124 and 8128 is 4.

GCF(8124,8128) = 4

GCF of 8124 and 8128

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

GCF of:
and

Greatest Common Factor of 8124 and 8128

GCF of 8124 and 8128 is 4

Prime Factorization of 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2,3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

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

∴ So by taking common prime factors GCF of 8124 and 8128 is 4

Greatest Common Factor of 8124 and 8128 by matching factors method

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

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

Greatest Common Factor

We found the factors and prime factorization of 8124 and 8128. The biggest common factor number is the GCF number.
So the greatest common factor 8124 and 8128 is 4.

Also check out the Least Common Multiple of 8124 and 8128

Properties of GCF 8124 and 8128

(i) The GCF of 8124 and 8128 is associative

GCF of 8124 and 8128 = GCF of 8128 and 8124

Related Greatest Common Factor of 8124

Related Greatest Common Factor of 8128

Frequently Asked Questions on GCF of 8124 and 8128

1. What is the GCF of 8124 and 8128?

Answer: GCF of 8124 and 8128 is 4.

2. What are the Factors of 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

3. 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.

4. How to Find the GCF of 8124 and 8128?

Answer:

Greatest Common Factor of 8124 and 8128 = 4

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8128

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

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 8124 and 8128 is 4