Greatest Common Factor of 10135 and 10138

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, 10138 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10135 and 10138 is 1.

GCF(10135,10138) = 1

GCF of 10135 and 10138

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

GCF of:
and

Greatest Common Factor of 10135 and 10138

GCF of 10135 and 10138 is 1

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 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

∴ So by taking common prime factors GCF of 10135 and 10138 is 1

Greatest Common Factor of 10135 and 10138 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 10138

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

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

Greatest Common Factor

We found the factors and prime factorization of 10135 and 10138. The biggest common factor number is the GCF number.
So the greatest common factor 10135 and 10138 is 1.

Also check out the Least Common Multiple of 10135 and 10138

Properties of GCF 10135 and 10138

(i) The GCF of 10135 and 10138 is associative

GCF of 10135 and 10138 = GCF of 10138 and 10135

Related Greatest Common Factor of 10135

Related Greatest Common Factor of 10138

Frequently Asked Questions on GCF of 10135 and 10138

1. What is the GCF of 10135 and 10138?

Answer: GCF of 10135 and 10138 is 1.

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 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.

4. How to Find the GCF of 10135 and 10138?

Answer:

Greatest Common Factor of 10135 and 10138 = 1

Step 1: Find the prime factorization of 10135

10135 = 5 x 2027

Step 2: Find the prime factorization of 10138

10138 = 2 x 37 x 137

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 10135 and 10138 is 1