Greatest Common Factor of 9024 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 9024, 9025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9024 and 9025 is 1.

GCF(9024,9025) = 1

GCF of 9024 and 9025

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

GCF of:
and

Greatest Common Factor of 9024 and 9025

GCF of 9024 and 9025 is 1

Prime Factorization of 9024


2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 9024 are 2,3,47. Prime factorization of 9024 in exponential form is:

9024 = 26×31×471

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 9024 and 9025 is 1

Greatest Common Factor of 9024 and 9025 by matching factors method

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

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 9024 and 9025. The biggest common factor number is the GCF number.
So the greatest common factor 9024 and 9025 is 1.

Also check out the Least Common Multiple of 9024 and 9025

Properties of GCF 9024 and 9025

(i) The GCF of 9024 and 9025 is associative

GCF of 9024 and 9025 = GCF of 9025 and 9024

Related Greatest Common Factor of 9024

Related Greatest Common Factor of 9025

Frequently Asked Questions on GCF of 9024 and 9025

1. What is the GCF of 9024 and 9025?

Answer: GCF of 9024 and 9025 is 1.

2. What are the Factors of 9024?

Answer: Factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024. There are 28 integers that are factors of 9024. The greatest factor of 9024 is 9024.

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 9024 and 9025?

Answer:

Greatest Common Factor of 9024 and 9025 = 1

Step 1: Find the prime factorization of 9024

9024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

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 9024 and 9025 is 1