Greatest Common Factor of 5129 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 5129, 5135 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5129 and 5135 is 1.

GCF(5129,5135) = 1

GCF of 5129 and 5135

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

GCF of:
and

Greatest Common Factor of 5129 and 5135

GCF of 5129 and 5135 is 1

Prime Factorization of 5129


23 5129
223 223
1

Prime factors of 5129 are 23,223. Prime factorization of 5129 in exponential form is:

5129 = 231×2231

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 5129 and 5135 is 1

Greatest Common Factor of 5129 and 5135 by matching factors method

Factors of 5129

List of positive integer factors of 5129 that divides 5129 without a remainder.

1,23,223,5129

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 5129 and 5135. The biggest common factor number is the GCF number.
So the greatest common factor 5129 and 5135 is 1.

Also check out the Least Common Multiple of 5129 and 5135

Properties of GCF 5129 and 5135

(i) The GCF of 5129 and 5135 is associative

GCF of 5129 and 5135 = GCF of 5135 and 5129

Related Greatest Common Factor of 5129

Related Greatest Common Factor of 5135

Frequently Asked Questions on GCF of 5129 and 5135

1. What is the GCF of 5129 and 5135?

Answer: GCF of 5129 and 5135 is 1.

2. What are the Factors of 5129?

Answer: Factors of 5129 are 1, 23, 223, 5129. There are 4 integers that are factors of 5129. The greatest factor of 5129 is 5129.

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 5129 and 5135?

Answer:

Greatest Common Factor of 5129 and 5135 = 1

Step 1: Find the prime factorization of 5129

5129 = 23 x 223

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 5129 and 5135 is 1