Greatest Common Factor of 2120 and 2128

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 2120, 2128 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2120 and 2128 is 8.

GCF(2120,2128) = 8

GCF of 2120 and 2128

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

GCF of:
and

Greatest Common Factor of 2120 and 2128

GCF of 2120 and 2128 is 8

Prime Factorization of 2120


2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 2120 are 2,5,53. Prime factorization of 2120 in exponential form is:

2120 = 23×51×531

Prime Factorization of 2128


2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 2128 are 2,7,19. Prime factorization of 2128 in exponential form is:

2128 = 24×71×191

∴ So by taking common prime factors GCF of 2120 and 2128 is 8

Greatest Common Factor of 2120 and 2128 by matching factors method

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Greatest Common Factor

We found the factors and prime factorization of 2120 and 2128. The biggest common factor number is the GCF number.
So the greatest common factor 2120 and 2128 is 8.

Also check out the Least Common Multiple of 2120 and 2128

Properties of GCF 2120 and 2128

(i) The GCF of 2120 and 2128 is associative

GCF of 2120 and 2128 = GCF of 2128 and 2120

Related Greatest Common Factor of 2120

Related Greatest Common Factor of 2128

Frequently Asked Questions on GCF of 2120 and 2128

1. What is the GCF of 2120 and 2128?

Answer: GCF of 2120 and 2128 is 8.

2. What are the Factors of 2120?

Answer: Factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120. There are 16 integers that are factors of 2120. The greatest factor of 2120 is 2120.

3. What are the Factors of 2128?

Answer: Factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128. There are 20 integers that are factors of 2128. The greatest factor of 2128 is 2128.

4. How to Find the GCF of 2120 and 2128?

Answer:

Greatest Common Factor of 2120 and 2128 = 8

Step 1: Find the prime factorization of 2120

2120 = 2 x 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 2128

2128 = 2 x 2 x 2 x 2 x 7 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2120 and 2128 is 8