Greatest Common Factor of 3156 and 3160

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 3156, 3160 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3156 and 3160 is 4.

GCF(3156,3160) = 4

GCF of 3156 and 3160

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

GCF of:
and

Greatest Common Factor of 3156 and 3160

GCF of 3156 and 3160 is 4

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

Prime Factorization of 3160


2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 3160 are 2,5,79. Prime factorization of 3160 in exponential form is:

3160 = 23×51×791

∴ So by taking common prime factors GCF of 3156 and 3160 is 4

Greatest Common Factor of 3156 and 3160 by matching factors method

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

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Greatest Common Factor

We found the factors and prime factorization of 3156 and 3160. The biggest common factor number is the GCF number.
So the greatest common factor 3156 and 3160 is 4.

Also check out the Least Common Multiple of 3156 and 3160

Properties of GCF 3156 and 3160

(i) The GCF of 3156 and 3160 is associative

GCF of 3156 and 3160 = GCF of 3160 and 3156

Related Greatest Common Factor of 3156

Related Greatest Common Factor of 3160

Frequently Asked Questions on GCF of 3156 and 3160

1. What is the GCF of 3156 and 3160?

Answer: GCF of 3156 and 3160 is 4.

2. 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.

3. What are the Factors of 3160?

Answer: Factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160. There are 16 integers that are factors of 3160. The greatest factor of 3160 is 3160.

4. How to Find the GCF of 3156 and 3160?

Answer:

Greatest Common Factor of 3156 and 3160 = 4

Step 1: Find the prime factorization of 3156

3156 = 2 x 2 x 3 x 263

Step 2: Find the prime factorization of 3160

3160 = 2 x 2 x 2 x 5 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3156 and 3160 is 4