What is the Greatest Common Factor of 10300 and 10318?

Greatest common factor (GCF) of 10300 and 10318 is 2.

GCF(10300,10318) = 2

We will now calculate the prime factors of 10300 and 10318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10300 and 10318.

How to find the GCF of 10300 and 10318?

We will first find the prime factorization of 10300 and 10318. After we will calculate the factors of 10300 and 10318 and find the biggest common factor number .

Step-1: Prime Factorization of 10300

Prime factors of 10300 are 2, 5, 103. Prime factorization of 10300 in exponential form is:

10300 = 2² × 5² × 103¹

Step-2: Prime Factorization of 10318

Prime factors of 10318 are 2, 7, 11, 67. Prime factorization of 10318 in exponential form is:

10318 = 2¹ × 7¹ × 11¹ × 67¹

Step-3: Factors of 10300

List of positive integer factors of 10300 that divides 10300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 206, 412, 515, 1030, 2060, 2575, 5150

Step-4: Factors of 10318

List of positive integer factors of 10318 that divides 10300 without a remainder.

1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10300 and 10318. The biggest common factor number is the GCF number.
So the greatest common factor 10300 and 10318 is 2.

Also check out the Least Common Multiple of 10300 and 10318