Greatest Common Factor of 2128 and 2130

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 2128, 2130 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2128 and 2130 is 2.

GCF(2128,2130) = 2

GCF of 2128 and 2130

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

GCF of:
and

Greatest Common Factor of 2128 and 2130

GCF of 2128 and 2130 is 2

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

Prime Factorization of 2130


2 2130
3 1065
5 355
71 71
1

Prime factors of 2130 are 2,3,5,71. Prime factorization of 2130 in exponential form is:

2130 = 21×31×51×711

∴ So by taking common prime factors GCF of 2128 and 2130 is 2

Greatest Common Factor of 2128 and 2130 by matching factors method

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

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors and prime factorization of 2128 and 2130. The biggest common factor number is the GCF number.
So the greatest common factor 2128 and 2130 is 2.

Also check out the Least Common Multiple of 2128 and 2130

Properties of GCF 2128 and 2130

(i) The GCF of 2128 and 2130 is associative

GCF of 2128 and 2130 = GCF of 2130 and 2128

Related Greatest Common Factor of 2128

Related Greatest Common Factor of 2130

Frequently Asked Questions on GCF of 2128 and 2130

1. What is the GCF of 2128 and 2130?

Answer: GCF of 2128 and 2130 is 2.

2. 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.

3. What are the Factors of 2130?

Answer: Factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130. There are 16 integers that are factors of 2130. The greatest factor of 2130 is 2130.

4. How to Find the GCF of 2128 and 2130?

Answer:

Greatest Common Factor of 2128 and 2130 = 2

Step 1: Find the prime factorization of 2128

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

Step 2: Find the prime factorization of 2130

2130 = 2 x 3 x 5 x 71

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2128 and 2130 is 2