Greatest Common Factor of 10138 and 10145

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, 10145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10138 and 10145 is 1.

GCF(10138,10145) = 1

GCF of 10138 and 10145

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

GCF of:
and

Greatest Common Factor of 10138 and 10145

GCF of 10138 and 10145 is 1

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 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

∴ So by taking common prime factors GCF of 10138 and 10145 is 1

Greatest Common Factor of 10138 and 10145 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 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1,5,2029,10145

Greatest Common Factor

We found the factors and prime factorization of 10138 and 10145. The biggest common factor number is the GCF number.
So the greatest common factor 10138 and 10145 is 1.

Also check out the Least Common Multiple of 10138 and 10145

Properties of GCF 10138 and 10145

(i) The GCF of 10138 and 10145 is associative

GCF of 10138 and 10145 = GCF of 10145 and 10138

Related Greatest Common Factor of 10138

Related Greatest Common Factor of 10145

Frequently Asked Questions on GCF of 10138 and 10145

1. What is the GCF of 10138 and 10145?

Answer: GCF of 10138 and 10145 is 1.

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 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

4. How to Find the GCF of 10138 and 10145?

Answer:

Greatest Common Factor of 10138 and 10145 = 1

Step 1: Find the prime factorization of 10138

10138 = 2 x 37 x 137

Step 2: Find the prime factorization of 10145

10145 = 5 x 2029

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 10138 and 10145 is 1