Greatest Common Factor of 10245 and 10251

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 10245, 10251 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10245 and 10251 is 3.

GCF(10245,10251) = 3

GCF of 10245 and 10251

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

GCF of:
and

Greatest Common Factor of 10245 and 10251

GCF of 10245 and 10251 is 3

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

Prime Factorization of 10251


3 10251
3 3417
17 1139
67 67
1

Prime factors of 10251 are 3,17,67. Prime factorization of 10251 in exponential form is:

10251 = 32×171×671

∴ So by taking common prime factors GCF of 10245 and 10251 is 3

Greatest Common Factor of 10245 and 10251 by matching factors method

Factors of 10245

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

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

Factors of 10251

List of positive integer factors of 10251 that divides 10251 without a remainder.

1,3,9,17,51,67,153,201,603,1139,3417,10251

Greatest Common Factor

We found the factors and prime factorization of 10245 and 10251. The biggest common factor number is the GCF number.
So the greatest common factor 10245 and 10251 is 3.

Also check out the Least Common Multiple of 10245 and 10251

Properties of GCF 10245 and 10251

(i) The GCF of 10245 and 10251 is associative

GCF of 10245 and 10251 = GCF of 10251 and 10245

Related Greatest Common Factor of 10245

Related Greatest Common Factor of 10251

Frequently Asked Questions on GCF of 10245 and 10251

1. What is the GCF of 10245 and 10251?

Answer: GCF of 10245 and 10251 is 3.

2. 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.

3. What are the Factors of 10251?

Answer: Factors of 10251 are 1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251. There are 12 integers that are factors of 10251. The greatest factor of 10251 is 10251.

4. How to Find the GCF of 10245 and 10251?

Answer:

Greatest Common Factor of 10245 and 10251 = 3

Step 1: Find the prime factorization of 10245

10245 = 3 x 5 x 683

Step 2: Find the prime factorization of 10251

10251 = 3 x 3 x 17 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 10245 and 10251 is 3