Greatest Common Factor of 5013 and 5021

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 5013, 5021 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5013 and 5021 is 1.

GCF(5013,5021) = 1

GCF of 5013 and 5021

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

GCF of:
and

Greatest Common Factor of 5013 and 5021

GCF of 5013 and 5021 is 1

Prime Factorization of 5013


3 5013
3 1671
557 557
1

Prime factors of 5013 are 3,557. Prime factorization of 5013 in exponential form is:

5013 = 32×5571

Prime Factorization of 5021


5021 5021
1

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

5021 = 50211

∴ So by taking common prime factors GCF of 5013 and 5021 is 1

Greatest Common Factor of 5013 and 5021 by matching factors method

Factors of 5013

List of positive integer factors of 5013 that divides 5013 without a remainder.

1,3,9,557,1671,5013

Factors of 5021

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

1,5021

Greatest Common Factor

We found the factors and prime factorization of 5013 and 5021. The biggest common factor number is the GCF number.
So the greatest common factor 5013 and 5021 is 1.

Also check out the Least Common Multiple of 5013 and 5021

Properties of GCF 5013 and 5021

(i) The GCF of 5013 and 5021 is associative

GCF of 5013 and 5021 = GCF of 5021 and 5013

Frequently Asked Questions on GCF of 5013 and 5021

1. What is the GCF of 5013 and 5021?

Answer: GCF of 5013 and 5021 is 1.

2. What are the Factors of 5013?

Answer: Factors of 5013 are 1, 3, 9, 557, 1671, 5013. There are 6 integers that are factors of 5013. The greatest factor of 5013 is 5013.

3. 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.

4. How to Find the GCF of 5013 and 5021?

Answer:

Greatest Common Factor of 5013 and 5021 = 1

Step 1: Find the prime factorization of 5013

5013 = 3 x 3 x 557

Step 2: Find the prime factorization of 5021

5021 = 5021

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 5013 and 5021 is 1