Greatest Common Factor of 10135 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 10135, 10140 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10135 and 10140 is 5.

GCF(10135,10140) = 5

GCF of 10135 and 10140

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

GCF of:
and

Greatest Common Factor of 10135 and 10140

GCF of 10135 and 10140 is 5

Prime Factorization of 10135


5 10135
2027 2027
1

Prime factors of 10135 are 5,2027. Prime factorization of 10135 in exponential form is:

10135 = 51×20271

Prime Factorization of 10140


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

Prime factors of 10140 are 2,3,5,13. Prime factorization of 10140 in exponential form is:

10140 = 22×31×51×132

∴ So by taking common prime factors GCF of 10135 and 10140 is 5

Greatest Common Factor of 10135 and 10140 by matching factors method

Factors of 10135

List of positive integer factors of 10135 that divides 10135 without a remainder.

1,5,2027,10135

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 10135 and 10140. The biggest common factor number is the GCF number.
So the greatest common factor 10135 and 10140 is 5.

Also check out the Least Common Multiple of 10135 and 10140

Properties of GCF 10135 and 10140

(i) The GCF of 10135 and 10140 is associative

GCF of 10135 and 10140 = GCF of 10140 and 10135

Related Greatest Common Factor of 10135

Related Greatest Common Factor of 10140

Frequently Asked Questions on GCF of 10135 and 10140

1. What is the GCF of 10135 and 10140?

Answer: GCF of 10135 and 10140 is 5.

2. What are the Factors of 10135?

Answer: Factors of 10135 are 1, 5, 2027, 10135. There are 4 integers that are factors of 10135. The greatest factor of 10135 is 10135.

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 10135 and 10140?

Answer:

Greatest Common Factor of 10135 and 10140 = 5

Step 1: Find the prime factorization of 10135

10135 = 5 x 2027

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 = 5

Step 4: Therefore, the greatest common factor of 10135 and 10140 is 5