Greatest Common Factor of 10016 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 10016, 10024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10016 and 10024 is 8.

GCF(10016,10024) = 8

GCF of 10016 and 10024

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

GCF of:
and

Greatest Common Factor of 10016 and 10024

GCF of 10016 and 10024 is 8

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

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 10016 and 10024 is 8

Greatest Common Factor of 10016 and 10024 by matching factors method

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1,2,4,8,16,32,313,626,1252,2504,5008,10016

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 10016 and 10024. The biggest common factor number is the GCF number.
So the greatest common factor 10016 and 10024 is 8.

Also check out the Least Common Multiple of 10016 and 10024

Properties of GCF 10016 and 10024

(i) The GCF of 10016 and 10024 is associative

GCF of 10016 and 10024 = GCF of 10024 and 10016

Related Greatest Common Factor of 10016

Related Greatest Common Factor of 10024

Frequently Asked Questions on GCF of 10016 and 10024

1. What is the GCF of 10016 and 10024?

Answer: GCF of 10016 and 10024 is 8.

2. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

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 10016 and 10024?

Answer:

Greatest Common Factor of 10016 and 10024 = 8

Step 1: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 10016 and 10024 is 8