Greatest Common Factor of 5125 and 5129

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 5125, 5129 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5125 and 5129 is 1.

GCF(5125,5129) = 1

GCF of 5125 and 5129

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

GCF of:
and

Greatest Common Factor of 5125 and 5129

GCF of 5125 and 5129 is 1

Prime Factorization of 5125


5 5125
5 1025
5 205
41 41
1

Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:

5125 = 53×411

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

∴ So by taking common prime factors GCF of 5125 and 5129 is 1

Greatest Common Factor of 5125 and 5129 by matching factors method

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1,5,25,41,125,205,1025,5125

Factors of 5129

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

1,23,223,5129

Greatest Common Factor

We found the factors and prime factorization of 5125 and 5129. The biggest common factor number is the GCF number.
So the greatest common factor 5125 and 5129 is 1.

Also check out the Least Common Multiple of 5125 and 5129

Properties of GCF 5125 and 5129

(i) The GCF of 5125 and 5129 is associative

GCF of 5125 and 5129 = GCF of 5129 and 5125

Related Greatest Common Factor of 5125

Related Greatest Common Factor of 5129

Frequently Asked Questions on GCF of 5125 and 5129

1. What is the GCF of 5125 and 5129?

Answer: GCF of 5125 and 5129 is 1.

2. What are the Factors of 5125?

Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.

3. 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.

4. How to Find the GCF of 5125 and 5129?

Answer:

Greatest Common Factor of 5125 and 5129 = 1

Step 1: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

Step 2: Find the prime factorization of 5129

5129 = 23 x 223

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 5125 and 5129 is 1