Greatest Common Factor of 3023 and 3025

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 3023, 3025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3023 and 3025 is 1.

GCF(3023,3025) = 1

GCF of 3023 and 3025

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

GCF of:
and

Greatest Common Factor of 3023 and 3025

GCF of 3023 and 3025 is 1

Prime Factorization of 3023


3023 3023
1

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

Prime Factorization of 3025


5 3025
5 605
11 121
11 11
1

Prime factors of 3025 are 5.Prime factorization of 3025 in exponential form is:

3025 = 52×112

∴ So by taking common prime factors GCF of 3023 and 3025 is 1

Greatest Common Factor of 3023 and 3025 by matching factors method

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1,3023

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors and prime factorization of 3023 and 3025. The biggest common factor number is the GCF number.
So the greatest common factor 3023 and 3025 is 1.

Also check out the Least Common Multiple of 3023 and 3025

Properties of GCF 3023 and 3025

(i) The GCF of 3023 and 3025 is associative

GCF of 3023 and 3025 = GCF of 3025 and 3023

Related Greatest Common Factor of 3023

Related Greatest Common Factor of 3025

Frequently Asked Questions on GCF of 3023 and 3025

1. What is the GCF of 3023 and 3025?

Answer: GCF of 3023 and 3025 is 1.

2. What are the Factors of 3023?

Answer: Factors of 3023 are 1, 3023. There are 2 integers that are factors of 3023. The greatest factor of 3023 is 3023.

3. What are the Factors of 3025?

Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.

4. How to Find the GCF of 3023 and 3025?

Answer:

Greatest Common Factor of 3023 and 3025 = 1

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3025

3025 = 5 x 5 x 11 x 11

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 3023 and 3025 is 1