Greatest Common Factor of 5128 and 5135

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 5128, 5135 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5128 and 5135 is 1.

GCF(5128,5135) = 1

GCF of 5128 and 5135

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

GCF of:
and

Greatest Common Factor of 5128 and 5135

GCF of 5128 and 5135 is 1

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5,13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

∴ So by taking common prime factors GCF of 5128 and 5135 is 1

Greatest Common Factor of 5128 and 5135 by matching factors method

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Greatest Common Factor

We found the factors and prime factorization of 5128 and 5135. The biggest common factor number is the GCF number.
So the greatest common factor 5128 and 5135 is 1.

Also check out the Least Common Multiple of 5128 and 5135

Properties of GCF 5128 and 5135

(i) The GCF of 5128 and 5135 is associative

GCF of 5128 and 5135 = GCF of 5135 and 5128

Related Greatest Common Factor of 5128

Related Greatest Common Factor of 5135

Frequently Asked Questions on GCF of 5128 and 5135

1. What is the GCF of 5128 and 5135?

Answer: GCF of 5128 and 5135 is 1.

2. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

3. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

4. How to Find the GCF of 5128 and 5135?

Answer:

Greatest Common Factor of 5128 and 5135 = 1

Step 1: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

Step 2: Find the prime factorization of 5135

5135 = 5 x 13 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5128 and 5135 is 1