Greatest Common Factor of 5021 and 5028

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 5021, 5028 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5021 and 5028 is 1.

GCF(5021,5028) = 1

GCF of 5021 and 5028

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

GCF of:
and

Greatest Common Factor of 5021 and 5028

GCF of 5021 and 5028 is 1

Prime Factorization of 5021


5021 5021
1

Prime factors of 5021 are 5021. Prime factorization of 5021 in exponential form is:

5021 = 50211

Prime Factorization of 5028


2 5028
2 2514
3 1257
419 419
1

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

5028 = 22×31×4191

∴ So by taking common prime factors GCF of 5021 and 5028 is 1

Greatest Common Factor of 5021 and 5028 by matching factors method

Factors of 5021

List of positive integer factors of 5021 that divides 5021 without a remainder.

1,5021

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

Greatest Common Factor

We found the factors and prime factorization of 5021 and 5028. The biggest common factor number is the GCF number.
So the greatest common factor 5021 and 5028 is 1.

Also check out the Least Common Multiple of 5021 and 5028

Properties of GCF 5021 and 5028

(i) The GCF of 5021 and 5028 is associative

GCF of 5021 and 5028 = GCF of 5028 and 5021

Related Greatest Common Factor of 5021

Related Greatest Common Factor of 5028

Frequently Asked Questions on GCF of 5021 and 5028

1. What is the GCF of 5021 and 5028?

Answer: GCF of 5021 and 5028 is 1.

2. What are the Factors of 5021?

Answer: Factors of 5021 are 1, 5021. There are 2 integers that are factors of 5021. The greatest factor of 5021 is 5021.

3. 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.

4. How to Find the GCF of 5021 and 5028?

Answer:

Greatest Common Factor of 5021 and 5028 = 1

Step 1: Find the prime factorization of 5021

5021 = 5021

Step 2: Find the prime factorization of 5028

5028 = 2 x 2 x 3 x 419

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5021 and 5028 is 1