Greatest Common Factor of 8124 and 8125

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 8124, 8125 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8124 and 8125 is 1.

GCF(8124,8125) = 1

GCF of 8124 and 8125

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

GCF of:
and

Greatest Common Factor of 8124 and 8125

GCF of 8124 and 8125 is 1

Prime Factorization of 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2,3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

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

∴ So by taking common prime factors GCF of 8124 and 8125 is 1

Greatest Common Factor of 8124 and 8125 by matching factors method

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

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

Greatest Common Factor

We found the factors and prime factorization of 8124 and 8125. The biggest common factor number is the GCF number.
So the greatest common factor 8124 and 8125 is 1.

Also check out the Least Common Multiple of 8124 and 8125

Properties of GCF 8124 and 8125

(i) The GCF of 8124 and 8125 is associative

GCF of 8124 and 8125 = GCF of 8125 and 8124

Related Greatest Common Factor of 8124

Related Greatest Common Factor of 8125

Frequently Asked Questions on GCF of 8124 and 8125

1. What is the GCF of 8124 and 8125?

Answer: GCF of 8124 and 8125 is 1.

2. What are the Factors of 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

3. 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.

4. How to Find the GCF of 8124 and 8125?

Answer:

Greatest Common Factor of 8124 and 8125 = 1

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8125

8125 = 5 x 5 x 5 x 5 x 13

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 8124 and 8125 is 1