Greatest Common Factor of 10020 and 10024

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 10020, 10024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10020 and 10024 is 4.

GCF(10020,10024) = 4

GCF of 10020 and 10024

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

GCF of:
and

Greatest Common Factor of 10020 and 10024

GCF of 10020 and 10024 is 4

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

Prime Factorization of 10024


2 10024
2 5012
2 2506
7 1253
179 179
1

Prime factors of 10024 are 2,7,179. Prime factorization of 10024 in exponential form is:

10024 = 23×71×1791

∴ So by taking common prime factors GCF of 10020 and 10024 is 4

Greatest Common Factor of 10020 and 10024 by matching factors method

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

Factors of 10024

List of positive integer factors of 10024 that divides 10024 without a remainder.

1,2,4,7,8,14,28,56,179,358,716,1253,1432,2506,5012,10024

Greatest Common Factor

We found the factors and prime factorization of 10020 and 10024. The biggest common factor number is the GCF number.
So the greatest common factor 10020 and 10024 is 4.

Also check out the Least Common Multiple of 10020 and 10024

Properties of GCF 10020 and 10024

(i) The GCF of 10020 and 10024 is associative

GCF of 10020 and 10024 = GCF of 10024 and 10020

Related Greatest Common Factor of 10020

Related Greatest Common Factor of 10024

Frequently Asked Questions on GCF of 10020 and 10024

1. What is the GCF of 10020 and 10024?

Answer: GCF of 10020 and 10024 is 4.

2. 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.

3. What are the Factors of 10024?

Answer: Factors of 10024 are 1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012, 10024. There are 16 integers that are factors of 10024. The greatest factor of 10024 is 10024.

4. How to Find the GCF of 10020 and 10024?

Answer:

Greatest Common Factor of 10020 and 10024 = 4

Step 1: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 10024

10024 = 2 x 2 x 2 x 7 x 179

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 10020 and 10024 is 4