Greatest Common Factor of 10150 and 10157

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 10150, 10157 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10150 and 10157 is 7.

GCF(10150,10157) = 7

GCF of 10150 and 10157

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

GCF of:
and

Greatest Common Factor of 10150 and 10157

GCF of 10150 and 10157 is 7

Prime Factorization of 10150


2 10150
5 5075
5 1015
7 203
29 29
1

Prime factors of 10150 are 2,5,7,29. Prime factorization of 10150 in exponential form is:

10150 = 21×52×71×291

Prime Factorization of 10157


7 10157
1451 1451
1

Prime factors of 10157 are 7,1451. Prime factorization of 10157 in exponential form is:

10157 = 71×14511

∴ So by taking common prime factors GCF of 10150 and 10157 is 7

Greatest Common Factor of 10150 and 10157 by matching factors method

Factors of 10150

List of positive integer factors of 10150 that divides 10150 without a remainder.

1,2,5,7,10,14,25,29,35,50,58,70,145,175,203,290,350,406,725,1015,1450,2030,5075,10150

Factors of 10157

List of positive integer factors of 10157 that divides 10157 without a remainder.

1,7,1451,10157

Greatest Common Factor

We found the factors and prime factorization of 10150 and 10157. The biggest common factor number is the GCF number.
So the greatest common factor 10150 and 10157 is 7.

Also check out the Least Common Multiple of 10150 and 10157

Properties of GCF 10150 and 10157

(i) The GCF of 10150 and 10157 is associative

GCF of 10150 and 10157 = GCF of 10157 and 10150

Related Greatest Common Factor of 10150

Related Greatest Common Factor of 10157

Frequently Asked Questions on GCF of 10150 and 10157

1. What is the GCF of 10150 and 10157?

Answer: GCF of 10150 and 10157 is 7.

2. What are the Factors of 10150?

Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.

3. What are the Factors of 10157?

Answer: Factors of 10157 are 1, 7, 1451, 10157. There are 4 integers that are factors of 10157. The greatest factor of 10157 is 10157.

4. How to Find the GCF of 10150 and 10157?

Answer:

Greatest Common Factor of 10150 and 10157 = 7

Step 1: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

Step 2: Find the prime factorization of 10157

10157 = 7 x 1451

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 10150 and 10157 is 7