Greatest Common Factor of 3134 and 3140

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 3134, 3140 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3134 and 3140 is 2.

GCF(3134,3140) = 2

GCF of 3134 and 3140

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

GCF of:
and

Greatest Common Factor of 3134 and 3140

GCF of 3134 and 3140 is 2

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

Prime Factorization of 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2,5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

∴ So by taking common prime factors GCF of 3134 and 3140 is 2

Greatest Common Factor of 3134 and 3140 by matching factors method

Factors of 3134

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

1,2,1567,3134

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1,2,4,5,10,20,157,314,628,785,1570,3140

Greatest Common Factor

We found the factors and prime factorization of 3134 and 3140. The biggest common factor number is the GCF number.
So the greatest common factor 3134 and 3140 is 2.

Also check out the Least Common Multiple of 3134 and 3140

Properties of GCF 3134 and 3140

(i) The GCF of 3134 and 3140 is associative

GCF of 3134 and 3140 = GCF of 3140 and 3134

Related Greatest Common Factor of 3134

Related Greatest Common Factor of 3140

Frequently Asked Questions on GCF of 3134 and 3140

1. What is the GCF of 3134 and 3140?

Answer: GCF of 3134 and 3140 is 2.

2. 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.

3. What are the Factors of 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

4. How to Find the GCF of 3134 and 3140?

Answer:

Greatest Common Factor of 3134 and 3140 = 2

Step 1: Find the prime factorization of 3134

3134 = 2 x 1567

Step 2: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

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 3134 and 3140 is 2