Greatest Common Factor of 4025 and 4031

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 4025, 4031 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4025 and 4031 is 1.

GCF(4025,4031) = 1

GCF of 4025 and 4031

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

GCF of:
and

Greatest Common Factor of 4025 and 4031

GCF of 4025 and 4031 is 1

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5,7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Prime Factorization of 4031


29 4031
139 139
1

Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:

4031 = 291×1391

∴ So by taking common prime factors GCF of 4025 and 4031 is 1

Greatest Common Factor of 4025 and 4031 by matching factors method

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1,5,7,23,25,35,115,161,175,575,805,4025

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1,29,139,4031

Greatest Common Factor

We found the factors and prime factorization of 4025 and 4031. The biggest common factor number is the GCF number.
So the greatest common factor 4025 and 4031 is 1.

Also check out the Least Common Multiple of 4025 and 4031

Properties of GCF 4025 and 4031

(i) The GCF of 4025 and 4031 is associative

GCF of 4025 and 4031 = GCF of 4031 and 4025

Related Greatest Common Factor of 4025

Related Greatest Common Factor of 4031

Frequently Asked Questions on GCF of 4025 and 4031

1. What is the GCF of 4025 and 4031?

Answer: GCF of 4025 and 4031 is 1.

2. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

3. What are the Factors of 4031?

Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.

4. How to Find the GCF of 4025 and 4031?

Answer:

Greatest Common Factor of 4025 and 4031 = 1

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4031

4031 = 29 x 139

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 4025 and 4031 is 1