Greatest Common Factor of 3151 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 3151, 3157 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3151 and 3157 is 1.

GCF(3151,3157) = 1

GCF of 3151 and 3157

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

GCF of:
and

Greatest Common Factor of 3151 and 3157

GCF of 3151 and 3157 is 1

Prime Factorization of 3151


23 3151
137 137
1

Prime factors of 3151 are 23,137. Prime factorization of 3151 in exponential form is:

3151 = 231×1371

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 3151 and 3157 is 1

Greatest Common Factor of 3151 and 3157 by matching factors method

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1,23,137,3151

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 3151 and 3157. The biggest common factor number is the GCF number.
So the greatest common factor 3151 and 3157 is 1.

Also check out the Least Common Multiple of 3151 and 3157

Properties of GCF 3151 and 3157

(i) The GCF of 3151 and 3157 is associative

GCF of 3151 and 3157 = GCF of 3157 and 3151

Related Greatest Common Factor of 3151

Related Greatest Common Factor of 3157

Frequently Asked Questions on GCF of 3151 and 3157

1. What is the GCF of 3151 and 3157?

Answer: GCF of 3151 and 3157 is 1.

2. What are the Factors of 3151?

Answer: Factors of 3151 are 1, 23, 137, 3151. There are 4 integers that are factors of 3151. The greatest factor of 3151 is 3151.

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 3151 and 3157?

Answer:

Greatest Common Factor of 3151 and 3157 = 1

Step 1: Find the prime factorization of 3151

3151 = 23 x 137

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 3151 and 3157 is 1