Greatest Common Factor of 10036 and 10042

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 10036, 10042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10036 and 10042 is 2.

GCF(10036,10042) = 2

GCF of 10036 and 10042

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

GCF of:
and

Greatest Common Factor of 10036 and 10042

GCF of 10036 and 10042 is 2

Prime Factorization of 10036


2 10036
2 5018
13 2509
193 193
1

Prime factors of 10036 are 2,13,193. Prime factorization of 10036 in exponential form is:

10036 = 22×131×1931

Prime Factorization of 10042


2 10042
5021 5021
1

Prime factors of 10042 are 2,5021. Prime factorization of 10042 in exponential form is:

10042 = 21×50211

∴ So by taking common prime factors GCF of 10036 and 10042 is 2

Greatest Common Factor of 10036 and 10042 by matching factors method

Factors of 10036

List of positive integer factors of 10036 that divides 10036 without a remainder.

1,2,4,13,26,52,193,386,772,2509,5018,10036

Factors of 10042

List of positive integer factors of 10042 that divides 10042 without a remainder.

1,2,5021,10042

Greatest Common Factor

We found the factors and prime factorization of 10036 and 10042. The biggest common factor number is the GCF number.
So the greatest common factor 10036 and 10042 is 2.

Also check out the Least Common Multiple of 10036 and 10042

Properties of GCF 10036 and 10042

(i) The GCF of 10036 and 10042 is associative

GCF of 10036 and 10042 = GCF of 10042 and 10036

Related Greatest Common Factor of 10036

Related Greatest Common Factor of 10042

Frequently Asked Questions on GCF of 10036 and 10042

1. What is the GCF of 10036 and 10042?

Answer: GCF of 10036 and 10042 is 2.

2. What are the Factors of 10036?

Answer: Factors of 10036 are 1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036. There are 12 integers that are factors of 10036. The greatest factor of 10036 is 10036.

3. What are the Factors of 10042?

Answer: Factors of 10042 are 1, 2, 5021, 10042. There are 4 integers that are factors of 10042. The greatest factor of 10042 is 10042.

4. How to Find the GCF of 10036 and 10042?

Answer:

Greatest Common Factor of 10036 and 10042 = 2

Step 1: Find the prime factorization of 10036

10036 = 2 x 2 x 13 x 193

Step 2: Find the prime factorization of 10042

10042 = 2 x 5021

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 10036 and 10042 is 2