What is the Greatest Common Factor of 10286 and 10300?

Greatest common factor (GCF) of 10286 and 10300 is 2.

GCF(10286,10300) = 2

We will now calculate the prime factors of 10286 and 10300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10286 and 10300.

How to find the GCF of 10286 and 10300?

We will first find the prime factorization of 10286 and 10300. After we will calculate the factors of 10286 and 10300 and find the biggest common factor number .

Step-1: Prime Factorization of 10286

Prime factors of 10286 are 2, 37, 139. Prime factorization of 10286 in exponential form is:

10286 = 2¹ × 37¹ × 139¹

Step-2: 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-3: Factors of 10286

List of positive integer factors of 10286 that divides 10286 without a remainder.

1, 2, 37, 74, 139, 278, 5143

Step-4: Factors of 10300

List of positive integer factors of 10300 that divides 10286 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10286 and 10300. The biggest common factor number is the GCF number.
So the greatest common factor 10286 and 10300 is 2.

Also check out the Least Common Multiple of 10286 and 10300