Greatest Common Factor of 10122 and 10130

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 10122, 10130 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10122 and 10130 is 2.

GCF(10122,10130) = 2

GCF of 10122 and 10130

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

GCF of:
and

Greatest Common Factor of 10122 and 10130

GCF of 10122 and 10130 is 2

Prime Factorization of 10122


2 10122
3 5061
7 1687
241 241
1

Prime factors of 10122 are 2,3,7,241. Prime factorization of 10122 in exponential form is:

10122 = 21×31×71×2411

Prime Factorization of 10130


2 10130
5 5065
1013 1013
1

Prime factors of 10130 are 2,5,1013. Prime factorization of 10130 in exponential form is:

10130 = 21×51×10131

∴ So by taking common prime factors GCF of 10122 and 10130 is 2

Greatest Common Factor of 10122 and 10130 by matching factors method

Factors of 10122

List of positive integer factors of 10122 that divides 10122 without a remainder.

1,2,3,6,7,14,21,42,241,482,723,1446,1687,3374,5061,10122

Factors of 10130

List of positive integer factors of 10130 that divides 10130 without a remainder.

1,2,5,10,1013,2026,5065,10130

Greatest Common Factor

We found the factors and prime factorization of 10122 and 10130. The biggest common factor number is the GCF number.
So the greatest common factor 10122 and 10130 is 2.

Also check out the Least Common Multiple of 10122 and 10130

Properties of GCF 10122 and 10130

(i) The GCF of 10122 and 10130 is associative

GCF of 10122 and 10130 = GCF of 10130 and 10122

Related Greatest Common Factor of 10122

Related Greatest Common Factor of 10130

Frequently Asked Questions on GCF of 10122 and 10130

1. What is the GCF of 10122 and 10130?

Answer: GCF of 10122 and 10130 is 2.

2. What are the Factors of 10122?

Answer: Factors of 10122 are 1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122. There are 16 integers that are factors of 10122. The greatest factor of 10122 is 10122.

3. What are the Factors of 10130?

Answer: Factors of 10130 are 1, 2, 5, 10, 1013, 2026, 5065, 10130. There are 8 integers that are factors of 10130. The greatest factor of 10130 is 10130.

4. How to Find the GCF of 10122 and 10130?

Answer:

Greatest Common Factor of 10122 and 10130 = 2

Step 1: Find the prime factorization of 10122

10122 = 2 x 3 x 7 x 241

Step 2: Find the prime factorization of 10130

10130 = 2 x 5 x 1013

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10122 and 10130 is 2