What is the Greatest Common Factor of 68500 and 68514?

Greatest common factor (GCF) of 68500 and 68514 is 2.

GCF(68500,68514) = 2

We will now calculate the prime factors of 68500 and 68514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68500 and 68514.

How to find the GCF of 68500 and 68514?

We will first find the prime factorization of 68500 and 68514. After we will calculate the factors of 68500 and 68514 and find the biggest common factor number .

Step-1: Prime Factorization of 68500

Prime factors of 68500 are 2, 5, 137. Prime factorization of 68500 in exponential form is:

68500 = 2² × 5³ × 137¹

Step-2: Prime Factorization of 68514

Prime factors of 68514 are 2, 3, 19, 601. Prime factorization of 68514 in exponential form is:

68514 = 2¹ × 3¹ × 19¹ × 601¹

Step-3: Factors of 68500

List of positive integer factors of 68500 that divides 68500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 137, 250, 274, 500, 548, 685, 1370, 2740, 3425, 6850, 13700, 17125, 34250

Step-4: Factors of 68514

List of positive integer factors of 68514 that divides 68500 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 601, 1202, 1803, 3606, 11419, 22838, 34257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68500 and 68514. The biggest common factor number is the GCF number.
So the greatest common factor 68500 and 68514 is 2.

Also check out the Least Common Multiple of 68500 and 68514