Greatest Common Factor of 10107 and 10113

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 10107, 10113 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10107 and 10113 is 3.

GCF(10107,10113) = 3

GCF of 10107 and 10113

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

GCF of:
and

Greatest Common Factor of 10107 and 10113

GCF of 10107 and 10113 is 3

Prime Factorization of 10107


3 10107
3 3369
1123 1123
1

Prime factors of 10107 are 3,1123. Prime factorization of 10107 in exponential form is:

10107 = 32×11231

Prime Factorization of 10113


3 10113
3371 3371
1

Prime factors of 10113 are 3,3371. Prime factorization of 10113 in exponential form is:

10113 = 31×33711

∴ So by taking common prime factors GCF of 10107 and 10113 is 3

Greatest Common Factor of 10107 and 10113 by matching factors method

Factors of 10107

List of positive integer factors of 10107 that divides 10107 without a remainder.

1,3,9,1123,3369,10107

Factors of 10113

List of positive integer factors of 10113 that divides 10113 without a remainder.

1,3,3371,10113

Greatest Common Factor

We found the factors and prime factorization of 10107 and 10113. The biggest common factor number is the GCF number.
So the greatest common factor 10107 and 10113 is 3.

Also check out the Least Common Multiple of 10107 and 10113

Properties of GCF 10107 and 10113

(i) The GCF of 10107 and 10113 is associative

GCF of 10107 and 10113 = GCF of 10113 and 10107

Related Greatest Common Factor of 10107

Related Greatest Common Factor of 10113

Frequently Asked Questions on GCF of 10107 and 10113

1. What is the GCF of 10107 and 10113?

Answer: GCF of 10107 and 10113 is 3.

2. What are the Factors of 10107?

Answer: Factors of 10107 are 1, 3, 9, 1123, 3369, 10107. There are 6 integers that are factors of 10107. The greatest factor of 10107 is 10107.

3. What are the Factors of 10113?

Answer: Factors of 10113 are 1, 3, 3371, 10113. There are 4 integers that are factors of 10113. The greatest factor of 10113 is 10113.

4. How to Find the GCF of 10107 and 10113?

Answer:

Greatest Common Factor of 10107 and 10113 = 3

Step 1: Find the prime factorization of 10107

10107 = 3 x 3 x 1123

Step 2: Find the prime factorization of 10113

10113 = 3 x 3371

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10107 and 10113 is 3