Greatest Common Factor of 3150 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 3150, 3157 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3150 and 3157 is 7.

GCF(3150,3157) = 7

GCF of 3150 and 3157

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

GCF of:
and

Greatest Common Factor of 3150 and 3157

GCF of 3150 and 3157 is 7

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 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 3150 and 3157 is 7

Greatest Common Factor of 3150 and 3157 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 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 3150 and 3157. The biggest common factor number is the GCF number.
So the greatest common factor 3150 and 3157 is 7.

Also check out the Least Common Multiple of 3150 and 3157

Properties of GCF 3150 and 3157

(i) The GCF of 3150 and 3157 is associative

GCF of 3150 and 3157 = GCF of 3157 and 3150

Related Greatest Common Factor of 3150

Related Greatest Common Factor of 3157

Frequently Asked Questions on GCF of 3150 and 3157

1. What is the GCF of 3150 and 3157?

Answer: GCF of 3150 and 3157 is 7.

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 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 3150 and 3157?

Answer:

Greatest Common Factor of 3150 and 3157 = 7

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 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 = 7

Step 4: Therefore, the greatest common factor of 3150 and 3157 is 7