Greatest Common Factor of 10138 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 10138, 10140 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10138 and 10140 is 2.

GCF(10138,10140) = 2

GCF of 10138 and 10140

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

GCF of:
and

Greatest Common Factor of 10138 and 10140

GCF of 10138 and 10140 is 2

Prime Factorization of 10138


2 10138
37 5069
137 137
1

Prime factors of 10138 are 2,37,137. Prime factorization of 10138 in exponential form is:

10138 = 21×371×1371

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 10138 and 10140 is 2

Greatest Common Factor of 10138 and 10140 by matching factors method

Factors of 10138

List of positive integer factors of 10138 that divides 10138 without a remainder.

1,2,37,74,137,274,5069,10138

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 10138 and 10140. The biggest common factor number is the GCF number.
So the greatest common factor 10138 and 10140 is 2.

Also check out the Least Common Multiple of 10138 and 10140

Properties of GCF 10138 and 10140

(i) The GCF of 10138 and 10140 is associative

GCF of 10138 and 10140 = GCF of 10140 and 10138

Related Greatest Common Factor of 10138

Related Greatest Common Factor of 10140

Frequently Asked Questions on GCF of 10138 and 10140

1. What is the GCF of 10138 and 10140?

Answer: GCF of 10138 and 10140 is 2.

2. What are the Factors of 10138?

Answer: Factors of 10138 are 1, 2, 37, 74, 137, 274, 5069, 10138. There are 8 integers that are factors of 10138. The greatest factor of 10138 is 10138.

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 10138 and 10140?

Answer:

Greatest Common Factor of 10138 and 10140 = 2

Step 1: Find the prime factorization of 10138

10138 = 2 x 37 x 137

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 = 2

Step 4: Therefore, the greatest common factor of 10138 and 10140 is 2