Greatest Common Factor of 5025 and 5031

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 5025, 5031 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5025 and 5031 is 3.

GCF(5025,5031) = 3

GCF of 5025 and 5031

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

GCF of:
and

Greatest Common Factor of 5025 and 5031

GCF of 5025 and 5031 is 3

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

Prime Factorization of 5031


3 5031
3 1677
13 559
43 43
1

Prime factors of 5031 are 3,13,43. Prime factorization of 5031 in exponential form is:

5031 = 32×131×431

∴ So by taking common prime factors GCF of 5025 and 5031 is 3

Greatest Common Factor of 5025 and 5031 by matching factors method

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

Factors of 5031

List of positive integer factors of 5031 that divides 5031 without a remainder.

1,3,9,13,39,43,117,129,387,559,1677,5031

Greatest Common Factor

We found the factors and prime factorization of 5025 and 5031. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5031 is 3.

Also check out the Least Common Multiple of 5025 and 5031

Properties of GCF 5025 and 5031

(i) The GCF of 5025 and 5031 is associative

GCF of 5025 and 5031 = GCF of 5031 and 5025

Related Greatest Common Factor of 5025

Related Greatest Common Factor of 5031

Frequently Asked Questions on GCF of 5025 and 5031

1. What is the GCF of 5025 and 5031?

Answer: GCF of 5025 and 5031 is 3.

2. 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.

3. What are the Factors of 5031?

Answer: Factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031. There are 12 integers that are factors of 5031. The greatest factor of 5031 is 5031.

4. How to Find the GCF of 5025 and 5031?

Answer:

Greatest Common Factor of 5025 and 5031 = 3

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

Step 2: Find the prime factorization of 5031

5031 = 3 x 3 x 13 x 43

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 5025 and 5031 is 3