What is the Greatest Common Factor of 68300 and 68318?

Greatest common factor (GCF) of 68300 and 68318 is 2.

GCF(68300,68318) = 2

We will now calculate the prime factors of 68300 and 68318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68300 and 68318.

How to find the GCF of 68300 and 68318?

We will first find the prime factorization of 68300 and 68318. After we will calculate the factors of 68300 and 68318 and find the biggest common factor number .

Step-1: Prime Factorization of 68300

Prime factors of 68300 are 2, 5, 683. Prime factorization of 68300 in exponential form is:

68300 = 2² × 5² × 683¹

Step-2: Prime Factorization of 68318

Prime factors of 68318 are 2, 34159. Prime factorization of 68318 in exponential form is:

68318 = 2¹ × 34159¹

Step-3: Factors of 68300

List of positive integer factors of 68300 that divides 68300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 683, 1366, 2732, 3415, 6830, 13660, 17075, 34150

Step-4: Factors of 68318

List of positive integer factors of 68318 that divides 68300 without a remainder.

1, 2, 34159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68300 and 68318. The biggest common factor number is the GCF number.
So the greatest common factor 68300 and 68318 is 2.

Also check out the Least Common Multiple of 68300 and 68318