Greatest Common Factor of 10113 and 10120

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 10113, 10120 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10113 and 10120 is 1.

GCF(10113,10120) = 1

GCF of 10113 and 10120

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

GCF of:
and

Greatest Common Factor of 10113 and 10120

GCF of 10113 and 10120 is 1

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

Prime Factorization of 10120


2 10120
2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 10120 are 2,5,11,23. Prime factorization of 10120 in exponential form is:

10120 = 23×51×111×231

∴ So by taking common prime factors GCF of 10113 and 10120 is 1

Greatest Common Factor of 10113 and 10120 by matching factors method

Factors of 10113

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

1,3,3371,10113

Factors of 10120

List of positive integer factors of 10120 that divides 10120 without a remainder.

1,2,4,5,8,10,11,20,22,23,40,44,46,55,88,92,110,115,184,220,230,253,440,460,506,920,1012,1265,2024,2530,5060,10120

Greatest Common Factor

We found the factors and prime factorization of 10113 and 10120. The biggest common factor number is the GCF number.
So the greatest common factor 10113 and 10120 is 1.

Also check out the Least Common Multiple of 10113 and 10120

Properties of GCF 10113 and 10120

(i) The GCF of 10113 and 10120 is associative

GCF of 10113 and 10120 = GCF of 10120 and 10113

Related Greatest Common Factor of 10113

Related Greatest Common Factor of 10120

Frequently Asked Questions on GCF of 10113 and 10120

1. What is the GCF of 10113 and 10120?

Answer: GCF of 10113 and 10120 is 1.

2. 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.

3. What are the Factors of 10120?

Answer: Factors of 10120 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 40, 44, 46, 55, 88, 92, 110, 115, 184, 220, 230, 253, 440, 460, 506, 920, 1012, 1265, 2024, 2530, 5060, 10120. There are 32 integers that are factors of 10120. The greatest factor of 10120 is 10120.

4. How to Find the GCF of 10113 and 10120?

Answer:

Greatest Common Factor of 10113 and 10120 = 1

Step 1: Find the prime factorization of 10113

10113 = 3 x 3371

Step 2: Find the prime factorization of 10120

10120 = 2 x 2 x 2 x 5 x 11 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10113 and 10120 is 1