Greatest Common Factor of 10118 and 10122

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 10118, 10122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10118 and 10122 is 2.

GCF(10118,10122) = 2

GCF of 10118 and 10122

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

GCF of:
and

Greatest Common Factor of 10118 and 10122

GCF of 10118 and 10122 is 2

Prime Factorization of 10118


2 10118
5059 5059
1

Prime factors of 10118 are 2,5059. Prime factorization of 10118 in exponential form is:

10118 = 21×50591

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

∴ So by taking common prime factors GCF of 10118 and 10122 is 2

Greatest Common Factor of 10118 and 10122 by matching factors method

Factors of 10118

List of positive integer factors of 10118 that divides 10118 without a remainder.

1,2,5059,10118

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

Greatest Common Factor

We found the factors and prime factorization of 10118 and 10122. The biggest common factor number is the GCF number.
So the greatest common factor 10118 and 10122 is 2.

Also check out the Least Common Multiple of 10118 and 10122

Properties of GCF 10118 and 10122

(i) The GCF of 10118 and 10122 is associative

GCF of 10118 and 10122 = GCF of 10122 and 10118

Related Greatest Common Factor of 10118

Related Greatest Common Factor of 10122

Frequently Asked Questions on GCF of 10118 and 10122

1. What is the GCF of 10118 and 10122?

Answer: GCF of 10118 and 10122 is 2.

2. What are the Factors of 10118?

Answer: Factors of 10118 are 1, 2, 5059, 10118. There are 4 integers that are factors of 10118. The greatest factor of 10118 is 10118.

3. 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.

4. How to Find the GCF of 10118 and 10122?

Answer:

Greatest Common Factor of 10118 and 10122 = 2

Step 1: Find the prime factorization of 10118

10118 = 2 x 5059

Step 2: Find the prime factorization of 10122

10122 = 2 x 3 x 7 x 241

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 10118 and 10122 is 2