Greatest Common Factor of 10012 and 10020

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 10012, 10020 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10012 and 10020 is 4.

GCF(10012,10020) = 4

GCF of 10012 and 10020

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

GCF of:
and

Greatest Common Factor of 10012 and 10020

GCF of 10012 and 10020 is 4

Prime Factorization of 10012


2 10012
2 5006
2503 2503
1

Prime factors of 10012 are 2,2503. Prime factorization of 10012 in exponential form is:

10012 = 22×25031

Prime Factorization of 10020


2 10020
2 5010
3 2505
5 835
167 167
1

Prime factors of 10020 are 2,3,5,167. Prime factorization of 10020 in exponential form is:

10020 = 22×31×51×1671

∴ So by taking common prime factors GCF of 10012 and 10020 is 4

Greatest Common Factor of 10012 and 10020 by matching factors method

Factors of 10012

List of positive integer factors of 10012 that divides 10012 without a remainder.

1,2,4,2503,5006,10012

Factors of 10020

List of positive integer factors of 10020 that divides 10020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,167,334,501,668,835,1002,1670,2004,2505,3340,5010,10020

Greatest Common Factor

We found the factors and prime factorization of 10012 and 10020. The biggest common factor number is the GCF number.
So the greatest common factor 10012 and 10020 is 4.

Also check out the Least Common Multiple of 10012 and 10020

Properties of GCF 10012 and 10020

(i) The GCF of 10012 and 10020 is associative

GCF of 10012 and 10020 = GCF of 10020 and 10012

Related Greatest Common Factor of 10012

Related Greatest Common Factor of 10020

Frequently Asked Questions on GCF of 10012 and 10020

1. What is the GCF of 10012 and 10020?

Answer: GCF of 10012 and 10020 is 4.

2. What are the Factors of 10012?

Answer: Factors of 10012 are 1, 2, 4, 2503, 5006, 10012. There are 6 integers that are factors of 10012. The greatest factor of 10012 is 10012.

3. What are the Factors of 10020?

Answer: Factors of 10020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020. There are 24 integers that are factors of 10020. The greatest factor of 10020 is 10020.

4. How to Find the GCF of 10012 and 10020?

Answer:

Greatest Common Factor of 10012 and 10020 = 4

Step 1: Find the prime factorization of 10012

10012 = 2 x 2 x 2503

Step 2: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10012 and 10020 is 4