Greatest Common Factor of 5024 and 5032

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 5024, 5032 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5024 and 5032 is 8.

GCF(5024,5032) = 8

GCF of 5024 and 5032

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

GCF of:
and

Greatest Common Factor of 5024 and 5032

GCF of 5024 and 5032 is 8

Prime Factorization of 5024


2 5024
2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 5024 are 2,157. Prime factorization of 5024 in exponential form is:

5024 = 25×1571

Prime Factorization of 5032


2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 5032 are 2,17,37. Prime factorization of 5032 in exponential form is:

5032 = 23×171×371

∴ So by taking common prime factors GCF of 5024 and 5032 is 8

Greatest Common Factor of 5024 and 5032 by matching factors method

Factors of 5024

List of positive integer factors of 5024 that divides 5024 without a remainder.

1,2,4,8,16,32,157,314,628,1256,2512,5024

Factors of 5032

List of positive integer factors of 5032 that divides 5032 without a remainder.

1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032

Greatest Common Factor

We found the factors and prime factorization of 5024 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5024 and 5032 is 8.

Also check out the Least Common Multiple of 5024 and 5032

Properties of GCF 5024 and 5032

(i) The GCF of 5024 and 5032 is associative

GCF of 5024 and 5032 = GCF of 5032 and 5024

Related Greatest Common Factor of 5024

Related Greatest Common Factor of 5032

Frequently Asked Questions on GCF of 5024 and 5032

1. What is the GCF of 5024 and 5032?

Answer: GCF of 5024 and 5032 is 8.

2. What are the Factors of 5024?

Answer: Factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024. There are 12 integers that are factors of 5024. The greatest factor of 5024 is 5024.

3. What are the Factors of 5032?

Answer: Factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032. There are 16 integers that are factors of 5032. The greatest factor of 5032 is 5032.

4. How to Find the GCF of 5024 and 5032?

Answer:

Greatest Common Factor of 5024 and 5032 = 8

Step 1: Find the prime factorization of 5024

5024 = 2 x 2 x 2 x 2 x 2 x 157

Step 2: Find the prime factorization of 5032

5032 = 2 x 2 x 2 x 17 x 37

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 5024 and 5032 is 8