Greatest Common Factor of 9017 and 9025

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 9017, 9025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9017 and 9025 is 1.

GCF(9017,9025) = 1

GCF of 9017 and 9025

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

GCF of:
and

Greatest Common Factor of 9017 and 9025

GCF of 9017 and 9025 is 1

Prime Factorization of 9017


71 9017
127 127
1

Prime factors of 9017 are 71,127. Prime factorization of 9017 in exponential form is:

9017 = 711×1271

Prime Factorization of 9025


5 9025
5 1805
19 361
19 19
1

Prime factors of 9025 are 5,19. Prime factorization of 9025 in exponential form is:

9025 = 52×192

∴ So by taking common prime factors GCF of 9017 and 9025 is 1

Greatest Common Factor of 9017 and 9025 by matching factors method

Factors of 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1,71,127,9017

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors and prime factorization of 9017 and 9025. The biggest common factor number is the GCF number.
So the greatest common factor 9017 and 9025 is 1.

Also check out the Least Common Multiple of 9017 and 9025

Properties of GCF 9017 and 9025

(i) The GCF of 9017 and 9025 is associative

GCF of 9017 and 9025 = GCF of 9025 and 9017

Related Greatest Common Factor of 9017

Related Greatest Common Factor of 9025

Frequently Asked Questions on GCF of 9017 and 9025

1. What is the GCF of 9017 and 9025?

Answer: GCF of 9017 and 9025 is 1.

2. What are the Factors of 9017?

Answer: Factors of 9017 are 1, 71, 127, 9017. There are 4 integers that are factors of 9017. The greatest factor of 9017 is 9017.

3. What are the Factors of 9025?

Answer: Factors of 9025 are 1, 5, 19, 25, 95, 361, 475, 1805, 9025. There are 9 integers that are factors of 9025. The greatest factor of 9025 is 9025.

4. How to Find the GCF of 9017 and 9025?

Answer:

Greatest Common Factor of 9017 and 9025 = 1

Step 1: Find the prime factorization of 9017

9017 = 71 x 127

Step 2: Find the prime factorization of 9025

9025 = 5 x 5 x 19 x 19

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 9017 and 9025 is 1