Greatest Common Factor of 10133 and 10140

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 10133, 10140 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10133 and 10140 is 1.

GCF(10133,10140) = 1

GCF of 10133 and 10140

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

GCF of:
and

Greatest Common Factor of 10133 and 10140

GCF of 10133 and 10140 is 1

Prime Factorization of 10133


10133 10133
1

Prime factors of 10133 are 10133. Prime factorization of 10133 in exponential form is:

10133 = 101331

Prime Factorization of 10140


2 10140
2 5070
3 2535
5 845
13 169
13 13
1

Prime factors of 10140 are 2.Prime factorization of 10140 in exponential form is:

10140 = 22×31×51×132

∴ So by taking common prime factors GCF of 10133 and 10140 is 1

Greatest Common Factor of 10133 and 10140 by matching factors method

Factors of 10133

List of positive integer factors of 10133 that divides 10133 without a remainder.

1,10133

Factors of 10140

List of positive integer factors of 10140 that divides 10140 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,169,195,260,338,390,507,676,780,845,1014,1690,2028,2535,3380,5070,10140

Greatest Common Factor

We found the factors and prime factorization of 10133 and 10140. The biggest common factor number is the GCF number.
So the greatest common factor 10133 and 10140 is 1.

Also check out the Least Common Multiple of 10133 and 10140

Properties of GCF 10133 and 10140

(i) The GCF of 10133 and 10140 is associative

GCF of 10133 and 10140 = GCF of 10140 and 10133

Related Greatest Common Factor of 10133

Related Greatest Common Factor of 10140

Frequently Asked Questions on GCF of 10133 and 10140

1. What is the GCF of 10133 and 10140?

Answer: GCF of 10133 and 10140 is 1.

2. What are the Factors of 10133?

Answer: Factors of 10133 are 1, 10133. There are 2 integers that are factors of 10133. The greatest factor of 10133 is 10133.

3. What are the Factors of 10140?

Answer: Factors of 10140 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140. There are 36 integers that are factors of 10140. The greatest factor of 10140 is 10140.

4. How to Find the GCF of 10133 and 10140?

Answer:

Greatest Common Factor of 10133 and 10140 = 1

Step 1: Find the prime factorization of 10133

10133 = 10133

Step 2: Find the prime factorization of 10140

10140 = 2 x 2 x 3 x 5 x 13 x 13

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 10133 and 10140 is 1