Greatest Common Factor of 8125 and 8129

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 8125, 8129 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8125 and 8129 is 1.

GCF(8125,8129) = 1

GCF of 8125 and 8129

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

GCF of:
and

Greatest Common Factor of 8125 and 8129

GCF of 8125 and 8129 is 1

Prime Factorization of 8125


5 8125
5 1625
5 325
5 65
13 13
1

Prime factors of 8125 are 5,13. Prime factorization of 8125 in exponential form is:

8125 = 54×131

Prime Factorization of 8129


11 8129
739 739
1

Prime factors of 8129 are 11,739. Prime factorization of 8129 in exponential form is:

8129 = 111×7391

∴ So by taking common prime factors GCF of 8125 and 8129 is 1

Greatest Common Factor of 8125 and 8129 by matching factors method

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Factors of 8129

List of positive integer factors of 8129 that divides 8129 without a remainder.

1,11,739,8129

Greatest Common Factor

We found the factors and prime factorization of 8125 and 8129. The biggest common factor number is the GCF number.
So the greatest common factor 8125 and 8129 is 1.

Also check out the Least Common Multiple of 8125 and 8129

Properties of GCF 8125 and 8129

(i) The GCF of 8125 and 8129 is associative

GCF of 8125 and 8129 = GCF of 8129 and 8125

Related Greatest Common Factor of 8125

Related Greatest Common Factor of 8129

Frequently Asked Questions on GCF of 8125 and 8129

1. What is the GCF of 8125 and 8129?

Answer: GCF of 8125 and 8129 is 1.

2. What are the Factors of 8125?

Answer: Factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125. There are 10 integers that are factors of 8125. The greatest factor of 8125 is 8125.

3. What are the Factors of 8129?

Answer: Factors of 8129 are 1, 11, 739, 8129. There are 4 integers that are factors of 8129. The greatest factor of 8129 is 8129.

4. How to Find the GCF of 8125 and 8129?

Answer:

Greatest Common Factor of 8125 and 8129 = 1

Step 1: Find the prime factorization of 8125

8125 = 5 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 8129

8129 = 11 x 739

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 8125 and 8129 is 1