Greatest Common Factor of 10116 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 10116, 10122 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10116 and 10122 is 6.

GCF(10116,10122) = 6

GCF of 10116 and 10122

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

GCF of:
and

Greatest Common Factor of 10116 and 10122

GCF of 10116 and 10122 is 6

Prime Factorization of 10116


2 10116
2 5058
3 2529
3 843
281 281
1

Prime factors of 10116 are 2,3,281. Prime factorization of 10116 in exponential form is:

10116 = 22×32×2811

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 10116 and 10122 is 6

Greatest Common Factor of 10116 and 10122 by matching factors method

Factors of 10116

List of positive integer factors of 10116 that divides 10116 without a remainder.

1,2,3,4,6,9,12,18,36,281,562,843,1124,1686,2529,3372,5058,10116

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 10116 and 10122. The biggest common factor number is the GCF number.
So the greatest common factor 10116 and 10122 is 6.

Also check out the Least Common Multiple of 10116 and 10122

Properties of GCF 10116 and 10122

(i) The GCF of 10116 and 10122 is associative

GCF of 10116 and 10122 = GCF of 10122 and 10116

Related Greatest Common Factor of 10116

Related Greatest Common Factor of 10122

Frequently Asked Questions on GCF of 10116 and 10122

1. What is the GCF of 10116 and 10122?

Answer: GCF of 10116 and 10122 is 6.

2. What are the Factors of 10116?

Answer: Factors of 10116 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 281, 562, 843, 1124, 1686, 2529, 3372, 5058, 10116. There are 18 integers that are factors of 10116. The greatest factor of 10116 is 10116.

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 10116 and 10122?

Answer:

Greatest Common Factor of 10116 and 10122 = 6

Step 1: Find the prime factorization of 10116

10116 = 2 x 2 x 3 x 3 x 281

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 10116 and 10122 is 6