Greatest Common Factor of 10042 and 10046

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 10042, 10046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10042 and 10046 is 2.

GCF(10042,10046) = 2

GCF of 10042 and 10046

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

GCF of:
and

Greatest Common Factor of 10042 and 10046

GCF of 10042 and 10046 is 2

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

Prime Factorization of 10046


2 10046
5023 5023
1

Prime factors of 10046 are 2,5023. Prime factorization of 10046 in exponential form is:

10046 = 21×50231

∴ So by taking common prime factors GCF of 10042 and 10046 is 2

Greatest Common Factor of 10042 and 10046 by matching factors method

Factors of 10042

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

1,2,5021,10042

Factors of 10046

List of positive integer factors of 10046 that divides 10046 without a remainder.

1,2,5023,10046

Greatest Common Factor

We found the factors and prime factorization of 10042 and 10046. The biggest common factor number is the GCF number.
So the greatest common factor 10042 and 10046 is 2.

Also check out the Least Common Multiple of 10042 and 10046

Properties of GCF 10042 and 10046

(i) The GCF of 10042 and 10046 is associative

GCF of 10042 and 10046 = GCF of 10046 and 10042

Related Greatest Common Factor of 10042

Related Greatest Common Factor of 10046

Frequently Asked Questions on GCF of 10042 and 10046

1. What is the GCF of 10042 and 10046?

Answer: GCF of 10042 and 10046 is 2.

2. 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.

3. What are the Factors of 10046?

Answer: Factors of 10046 are 1, 2, 5023, 10046. There are 4 integers that are factors of 10046. The greatest factor of 10046 is 10046.

4. How to Find the GCF of 10042 and 10046?

Answer:

Greatest Common Factor of 10042 and 10046 = 2

Step 1: Find the prime factorization of 10042

10042 = 2 x 5021

Step 2: Find the prime factorization of 10046

10046 = 2 x 5023

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 10042 and 10046 is 2