Greatest Common Factor of 5019 and 5025

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 5019, 5025 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5019 and 5025 is 3.

GCF(5019,5025) = 3

GCF of 5019 and 5025

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

GCF of:
and

Greatest Common Factor of 5019 and 5025

GCF of 5019 and 5025 is 3

Prime Factorization of 5019


3 5019
7 1673
239 239
1

Prime factors of 5019 are 3,7,239. Prime factorization of 5019 in exponential form is:

5019 = 31×71×2391

Prime Factorization of 5025


3 5025
5 1675
5 335
67 67
1

Prime factors of 5025 are 3,5,67. Prime factorization of 5025 in exponential form is:

5025 = 31×52×671

∴ So by taking common prime factors GCF of 5019 and 5025 is 3

Greatest Common Factor of 5019 and 5025 by matching factors method

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1,3,7,21,239,717,1673,5019

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Greatest Common Factor

We found the factors and prime factorization of 5019 and 5025. The biggest common factor number is the GCF number.
So the greatest common factor 5019 and 5025 is 3.

Also check out the Least Common Multiple of 5019 and 5025

Properties of GCF 5019 and 5025

(i) The GCF of 5019 and 5025 is associative

GCF of 5019 and 5025 = GCF of 5025 and 5019

Related Greatest Common Factor of 5019

Related Greatest Common Factor of 5025

Frequently Asked Questions on GCF of 5019 and 5025

1. What is the GCF of 5019 and 5025?

Answer: GCF of 5019 and 5025 is 3.

2. What are the Factors of 5019?

Answer: Factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019. There are 8 integers that are factors of 5019. The greatest factor of 5019 is 5019.

3. What are the Factors of 5025?

Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.

4. How to Find the GCF of 5019 and 5025?

Answer:

Greatest Common Factor of 5019 and 5025 = 3

Step 1: Find the prime factorization of 5019

5019 = 3 x 7 x 239

Step 2: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5019 and 5025 is 3