Greatest Common Factor of 5028 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 5028, 5032 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5028 and 5032 is 4.

GCF(5028,5032) = 4

GCF of 5028 and 5032

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

GCF of:
and

Greatest Common Factor of 5028 and 5032

GCF of 5028 and 5032 is 4

Prime Factorization of 5028


2 5028
2 2514
3 1257
419 419
1

Prime factors of 5028 are 2,3,419. Prime factorization of 5028 in exponential form is:

5028 = 22×31×4191

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 5028 and 5032 is 4

Greatest Common Factor of 5028 and 5032 by matching factors method

Factors of 5028

List of positive integer factors of 5028 that divides 5028 without a remainder.

1,2,3,4,6,12,419,838,1257,1676,2514,5028

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 5028 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5028 and 5032 is 4.

Also check out the Least Common Multiple of 5028 and 5032

Properties of GCF 5028 and 5032

(i) The GCF of 5028 and 5032 is associative

GCF of 5028 and 5032 = GCF of 5032 and 5028

Related Greatest Common Factor of 5028

Related Greatest Common Factor of 5032

Frequently Asked Questions on GCF of 5028 and 5032

1. What is the GCF of 5028 and 5032?

Answer: GCF of 5028 and 5032 is 4.

2. What are the Factors of 5028?

Answer: Factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028. There are 12 integers that are factors of 5028. The greatest factor of 5028 is 5028.

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 5028 and 5032?

Answer:

Greatest Common Factor of 5028 and 5032 = 4

Step 1: Find the prime factorization of 5028

5028 = 2 x 2 x 3 x 419

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 = 4

Step 4: Therefore, the greatest common factor of 5028 and 5032 is 4