Greatest Common Factor of 10290 and 10295

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 10290, 10295 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10290 and 10295 is 5.

GCF(10290,10295) = 5

GCF of 10290 and 10295

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

GCF of:
and

Greatest Common Factor of 10290 and 10295

GCF of 10290 and 10295 is 5

Prime Factorization of 10290


2 10290
3 5145
5 1715
7 343
7 49
7 7
1

Prime factors of 10290 are 2,3,5,7. Prime factorization of 10290 in exponential form is:

10290 = 21×31×51×73

Prime Factorization of 10295


5 10295
29 2059
71 71
1

Prime factors of 10295 are 5,29,71. Prime factorization of 10295 in exponential form is:

10295 = 51×291×711

∴ So by taking common prime factors GCF of 10290 and 10295 is 5

Greatest Common Factor of 10290 and 10295 by matching factors method

Factors of 10290

List of positive integer factors of 10290 that divides 10290 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,343,490,686,735,1029,1470,1715,2058,3430,5145,10290

Factors of 10295

List of positive integer factors of 10295 that divides 10295 without a remainder.

1,5,29,71,145,355,2059,10295

Greatest Common Factor

We found the factors and prime factorization of 10290 and 10295. The biggest common factor number is the GCF number.
So the greatest common factor 10290 and 10295 is 5.

Also check out the Least Common Multiple of 10290 and 10295

Properties of GCF 10290 and 10295

(i) The GCF of 10290 and 10295 is associative

GCF of 10290 and 10295 = GCF of 10295 and 10290

Related Greatest Common Factor of 10290

Related Greatest Common Factor of 10295

Frequently Asked Questions on GCF of 10290 and 10295

1. What is the GCF of 10290 and 10295?

Answer: GCF of 10290 and 10295 is 5.

2. What are the Factors of 10290?

Answer: Factors of 10290 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 343, 490, 686, 735, 1029, 1470, 1715, 2058, 3430, 5145, 10290. There are 32 integers that are factors of 10290. The greatest factor of 10290 is 10290.

3. What are the Factors of 10295?

Answer: Factors of 10295 are 1, 5, 29, 71, 145, 355, 2059, 10295. There are 8 integers that are factors of 10295. The greatest factor of 10295 is 10295.

4. How to Find the GCF of 10290 and 10295?

Answer:

Greatest Common Factor of 10290 and 10295 = 5

Step 1: Find the prime factorization of 10290

10290 = 2 x 3 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 10295

10295 = 5 x 29 x 71

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10290 and 10295 is 5