Greatest Common Factor of 3156 and 3157

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, 3157 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3156 and 3157 is 1.

GCF(3156,3157) = 1

GCF of 3156 and 3157

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

GCF of:
and

Greatest Common Factor of 3156 and 3157

GCF of 3156 and 3157 is 1

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 3157


7 3157
11 451
41 41
1

Prime factors of 3157 are 7,11,41. Prime factorization of 3157 in exponential form is:

3157 = 71×111×411

∴ So by taking common prime factors GCF of 3156 and 3157 is 1

Greatest Common Factor of 3156 and 3157 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 3157

List of positive integer factors of 3157 that divides 3157 without a remainder.

1,7,11,41,77,287,451,3157

Greatest Common Factor

We found the factors and prime factorization of 3156 and 3157. The biggest common factor number is the GCF number.
So the greatest common factor 3156 and 3157 is 1.

Also check out the Least Common Multiple of 3156 and 3157

Properties of GCF 3156 and 3157

(i) The GCF of 3156 and 3157 is associative

GCF of 3156 and 3157 = GCF of 3157 and 3156

Related Greatest Common Factor of 3156

Related Greatest Common Factor of 3157

Frequently Asked Questions on GCF of 3156 and 3157

1. What is the GCF of 3156 and 3157?

Answer: GCF of 3156 and 3157 is 1.

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 3157?

Answer: Factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157. There are 8 integers that are factors of 3157. The greatest factor of 3157 is 3157.

4. How to Find the GCF of 3156 and 3157?

Answer:

Greatest Common Factor of 3156 and 3157 = 1

Step 1: Find the prime factorization of 3156

3156 = 2 x 2 x 3 x 263

Step 2: Find the prime factorization of 3157

3157 = 7 x 11 x 41

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 3156 and 3157 is 1