Greatest Common Factor of 10237 and 10245

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 10237, 10245 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10237 and 10245 is 1.

GCF(10237,10245) = 1

GCF of 10237 and 10245

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

GCF of:
and

Greatest Common Factor of 10237 and 10245

GCF of 10237 and 10245 is 1

Prime Factorization of 10237


29 10237
353 353
1

Prime factors of 10237 are 29,353. Prime factorization of 10237 in exponential form is:

10237 = 291×3531

Prime Factorization of 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3,5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

∴ So by taking common prime factors GCF of 10237 and 10245 is 1

Greatest Common Factor of 10237 and 10245 by matching factors method

Factors of 10237

List of positive integer factors of 10237 that divides 10237 without a remainder.

1,29,353,10237

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1,3,5,15,683,2049,3415,10245

Greatest Common Factor

We found the factors and prime factorization of 10237 and 10245. The biggest common factor number is the GCF number.
So the greatest common factor 10237 and 10245 is 1.

Also check out the Least Common Multiple of 10237 and 10245

Properties of GCF 10237 and 10245

(i) The GCF of 10237 and 10245 is associative

GCF of 10237 and 10245 = GCF of 10245 and 10237

Frequently Asked Questions on GCF of 10237 and 10245

1. What is the GCF of 10237 and 10245?

Answer: GCF of 10237 and 10245 is 1.

2. What are the Factors of 10237?

Answer: Factors of 10237 are 1, 29, 353, 10237. There are 4 integers that are factors of 10237. The greatest factor of 10237 is 10237.

3. What are the Factors of 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

4. How to Find the GCF of 10237 and 10245?

Answer:

Greatest Common Factor of 10237 and 10245 = 1

Step 1: Find the prime factorization of 10237

10237 = 29 x 353

Step 2: Find the prime factorization of 10245

10245 = 3 x 5 x 683

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 10237 and 10245 is 1