Greatest Common Factor of 10025 and 10032

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 10025, 10032 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10025 and 10032 is 1.

GCF(10025,10032) = 1

GCF of 10025 and 10032

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

GCF of:
and

Greatest Common Factor of 10025 and 10032

GCF of 10025 and 10032 is 1

Prime Factorization of 10025


5 10025
5 2005
401 401
1

Prime factors of 10025 are 5,401. Prime factorization of 10025 in exponential form is:

10025 = 52×4011

Prime Factorization of 10032


2 10032
2 5016
2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 10032 are 2,3,11,19. Prime factorization of 10032 in exponential form is:

10032 = 24×31×111×191

∴ So by taking common prime factors GCF of 10025 and 10032 is 1

Greatest Common Factor of 10025 and 10032 by matching factors method

Factors of 10025

List of positive integer factors of 10025 that divides 10025 without a remainder.

1,5,25,401,2005,10025

Factors of 10032

List of positive integer factors of 10032 that divides 10032 without a remainder.

1,2,3,4,6,8,11,12,16,19,22,24,33,38,44,48,57,66,76,88,114,132,152,176,209,228,264,304,418,456,528,627,836,912,1254,1672,2508,3344,5016,10032

Greatest Common Factor

We found the factors and prime factorization of 10025 and 10032. The biggest common factor number is the GCF number.
So the greatest common factor 10025 and 10032 is 1.

Also check out the Least Common Multiple of 10025 and 10032

Properties of GCF 10025 and 10032

(i) The GCF of 10025 and 10032 is associative

GCF of 10025 and 10032 = GCF of 10032 and 10025

Related Greatest Common Factor of 10025

Related Greatest Common Factor of 10032

Frequently Asked Questions on GCF of 10025 and 10032

1. What is the GCF of 10025 and 10032?

Answer: GCF of 10025 and 10032 is 1.

2. What are the Factors of 10025?

Answer: Factors of 10025 are 1, 5, 25, 401, 2005, 10025. There are 6 integers that are factors of 10025. The greatest factor of 10025 is 10025.

3. What are the Factors of 10032?

Answer: Factors of 10032 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 33, 38, 44, 48, 57, 66, 76, 88, 114, 132, 152, 176, 209, 228, 264, 304, 418, 456, 528, 627, 836, 912, 1254, 1672, 2508, 3344, 5016, 10032. There are 40 integers that are factors of 10032. The greatest factor of 10032 is 10032.

4. How to Find the GCF of 10025 and 10032?

Answer:

Greatest Common Factor of 10025 and 10032 = 1

Step 1: Find the prime factorization of 10025

10025 = 5 x 5 x 401

Step 2: Find the prime factorization of 10032

10032 = 2 x 2 x 2 x 2 x 3 x 11 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 10025 and 10032 is 1