Greatest Common Factor of 3150 and 3156

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 3150, 3156 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3150 and 3156 is 6.

GCF(3150,3156) = 6

GCF of 3150 and 3156

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

GCF of:
and

Greatest Common Factor of 3150 and 3156

GCF of 3150 and 3156 is 6

Prime Factorization of 3150


2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 3150 are 2,3,5,7. Prime factorization of 3150 in exponential form is:

3150 = 21×32×52×71

Prime Factorization of 3156


2 3156
2 1578
3 789
263 263
1

Prime factors of 3156 are 2,3,263. Prime factorization of 3156 in exponential form is:

3156 = 22×31×2631

∴ So by taking common prime factors GCF of 3150 and 3156 is 6

Greatest Common Factor of 3150 and 3156 by matching factors method

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150

Factors of 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1,2,3,4,6,12,263,526,789,1052,1578,3156

Greatest Common Factor

We found the factors and prime factorization of 3150 and 3156. The biggest common factor number is the GCF number.
So the greatest common factor 3150 and 3156 is 6.

Also check out the Least Common Multiple of 3150 and 3156

Properties of GCF 3150 and 3156

(i) The GCF of 3150 and 3156 is associative

GCF of 3150 and 3156 = GCF of 3156 and 3150

Related Greatest Common Factor of 3150

Related Greatest Common Factor of 3156

Frequently Asked Questions on GCF of 3150 and 3156

1. What is the GCF of 3150 and 3156?

Answer: GCF of 3150 and 3156 is 6.

2. What are the Factors of 3150?

Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.

3. What are the Factors of 3156?

Answer: Factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156. There are 12 integers that are factors of 3156. The greatest factor of 3156 is 3156.

4. How to Find the GCF of 3150 and 3156?

Answer:

Greatest Common Factor of 3150 and 3156 = 6

Step 1: Find the prime factorization of 3150

3150 = 2 x 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 3156

3156 = 2 x 2 x 3 x 263

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3150 and 3156 is 6