What is the Greatest Common Factor of 68480 and 68500?

Greatest common factor (GCF) of 68480 and 68500 is 20.

GCF(68480,68500) = 20

We will now calculate the prime factors of 68480 and 68500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68480 and 68500.

How to find the GCF of 68480 and 68500?

We will first find the prime factorization of 68480 and 68500. After we will calculate the factors of 68480 and 68500 and find the biggest common factor number .

Step-1: Prime Factorization of 68480

Prime factors of 68480 are 2, 5, 107. Prime factorization of 68480 in exponential form is:

68480 = 2⁷ × 5¹ × 107¹

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 68480

List of positive integer factors of 68480 that divides 68480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 128, 160, 214, 320, 428, 535, 640, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 13696, 17120, 34240

Step-4: Factors of 68500

List of positive integer factors of 68500 that divides 68480 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 68480 and 68500. The biggest common factor number is the GCF number.
So the greatest common factor 68480 and 68500 is 20.

Also check out the Least Common Multiple of 68480 and 68500