Greatest Common Factor of 3126 and 3134

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 3126, 3134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3126 and 3134 is 2.

GCF(3126,3134) = 2

GCF of 3126 and 3134

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

GCF of:
and

Greatest Common Factor of 3126 and 3134

GCF of 3126 and 3134 is 2

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2,3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

Prime Factorization of 3134


2 3134
1567 1567
1

Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:

3134 = 21×15671

∴ So by taking common prime factors GCF of 3126 and 3134 is 2

Greatest Common Factor of 3126 and 3134 by matching factors method

Factors of 3126

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

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

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1,2,1567,3134

Greatest Common Factor

We found the factors and prime factorization of 3126 and 3134. The biggest common factor number is the GCF number.
So the greatest common factor 3126 and 3134 is 2.

Also check out the Least Common Multiple of 3126 and 3134

Properties of GCF 3126 and 3134

(i) The GCF of 3126 and 3134 is associative

GCF of 3126 and 3134 = GCF of 3134 and 3126

Related Greatest Common Factor of 3126

Related Greatest Common Factor of 3134

Frequently Asked Questions on GCF of 3126 and 3134

1. What is the GCF of 3126 and 3134?

Answer: GCF of 3126 and 3134 is 2.

2. 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.

3. What are the Factors of 3134?

Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.

4. How to Find the GCF of 3126 and 3134?

Answer:

Greatest Common Factor of 3126 and 3134 = 2

Step 1: Find the prime factorization of 3126

3126 = 2 x 3 x 521

Step 2: Find the prime factorization of 3134

3134 = 2 x 1567

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 3126 and 3134 is 2