What is the Greatest Common Factor of 68484 and 68500?

Greatest common factor (GCF) of 68484 and 68500 is 4.

GCF(68484,68500) = 4

We will now calculate the prime factors of 68484 and 68500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68484 and 68500.

How to find the GCF of 68484 and 68500?

We will first find the prime factorization of 68484 and 68500. After we will calculate the factors of 68484 and 68500 and find the biggest common factor number .

Step-1: Prime Factorization of 68484

Prime factors of 68484 are 2, 3, 13, 439. Prime factorization of 68484 in exponential form is:

68484 = 2² × 3¹ × 13¹ × 439¹

Step-2: 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-3: Factors of 68484

List of positive integer factors of 68484 that divides 68484 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 439, 878, 1317, 1756, 2634, 5268, 5707, 11414, 17121, 22828, 34242

Step-4: Factors of 68500

List of positive integer factors of 68500 that divides 68484 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68484 and 68500. The biggest common factor number is the GCF number.
So the greatest common factor 68484 and 68500 is 4.

Also check out the Least Common Multiple of 68484 and 68500