Greatest Common Factor of 3125 and 3126

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 3125, 3126 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3125 and 3126 is 1.

GCF(3125,3126) = 1

GCF of 3125 and 3126

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

GCF of:
and

Greatest Common Factor of 3125 and 3126

GCF of 3125 and 3126 is 1

Prime Factorization of 3125


5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2.Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

∴ So by taking common prime factors GCF of 3125 and 3126 is 1

Greatest Common Factor of 3125 and 3126 by matching factors method

Factors of 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1,5,25,125,625,3125

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1,2,3,6,521,1042,1563,3126

Greatest Common Factor

We found the factors and prime factorization of 3125 and 3126. The biggest common factor number is the GCF number.
So the greatest common factor 3125 and 3126 is 1.

Also check out the Least Common Multiple of 3125 and 3126

Properties of GCF 3125 and 3126

(i) The GCF of 3125 and 3126 is associative

GCF of 3125 and 3126 = GCF of 3126 and 3125

Related Greatest Common Factor of 3125

Related Greatest Common Factor of 3126

Frequently Asked Questions on GCF of 3125 and 3126

1. What is the GCF of 3125 and 3126?

Answer: GCF of 3125 and 3126 is 1.

2. What are the Factors of 3125?

Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.

3. What are the Factors of 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

4. How to Find the GCF of 3125 and 3126?

Answer:

Greatest Common Factor of 3125 and 3126 = 1

Step 1: Find the prime factorization of 3125

3125 = 5 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 3126

3126 = 2 x 3 x 521

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 3125 and 3126 is 1