Greatest Common Factor of 10241 and 10249

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 10241, 10249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10241 and 10249 is 1.

GCF(10241,10249) = 1

GCF of 10241 and 10249

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

GCF of:
and

Greatest Common Factor of 10241 and 10249

GCF of 10241 and 10249 is 1

Prime Factorization of 10241


7 10241
7 1463
11 209
19 19
1

Prime factors of 10241 are 7,11,19. Prime factorization of 10241 in exponential form is:

10241 = 72×111×191

Prime Factorization of 10249


37 10249
277 277
1

Prime factors of 10249 are 37,277. Prime factorization of 10249 in exponential form is:

10249 = 371×2771

∴ So by taking common prime factors GCF of 10241 and 10249 is 1

Greatest Common Factor of 10241 and 10249 by matching factors method

Factors of 10241

List of positive integer factors of 10241 that divides 10241 without a remainder.

1,7,11,19,49,77,133,209,539,931,1463,10241

Factors of 10249

List of positive integer factors of 10249 that divides 10249 without a remainder.

1,37,277,10249

Greatest Common Factor

We found the factors and prime factorization of 10241 and 10249. The biggest common factor number is the GCF number.
So the greatest common factor 10241 and 10249 is 1.

Also check out the Least Common Multiple of 10241 and 10249

Properties of GCF 10241 and 10249

(i) The GCF of 10241 and 10249 is associative

GCF of 10241 and 10249 = GCF of 10249 and 10241

Related Greatest Common Factor of 10241

Related Greatest Common Factor of 10249

Frequently Asked Questions on GCF of 10241 and 10249

1. What is the GCF of 10241 and 10249?

Answer: GCF of 10241 and 10249 is 1.

2. What are the Factors of 10241?

Answer: Factors of 10241 are 1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241. There are 12 integers that are factors of 10241. The greatest factor of 10241 is 10241.

3. What are the Factors of 10249?

Answer: Factors of 10249 are 1, 37, 277, 10249. There are 4 integers that are factors of 10249. The greatest factor of 10249 is 10249.

4. How to Find the GCF of 10241 and 10249?

Answer:

Greatest Common Factor of 10241 and 10249 = 1

Step 1: Find the prime factorization of 10241

10241 = 7 x 7 x 11 x 19

Step 2: Find the prime factorization of 10249

10249 = 37 x 277

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 10241 and 10249 is 1