What is the Greatest Common Factor of 68585 and 68600?

Greatest common factor (GCF) of 68585 and 68600 is 5.

GCF(68585,68600) = 5

We will now calculate the prime factors of 68585 and 68600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68585 and 68600.

How to find the GCF of 68585 and 68600?

We will first find the prime factorization of 68585 and 68600. After we will calculate the factors of 68585 and 68600 and find the biggest common factor number .

Step-1: Prime Factorization of 68585

Prime factors of 68585 are 5, 11, 29, 43. Prime factorization of 68585 in exponential form is:

68585 = 5¹ × 11¹ × 29¹ × 43¹

Step-2: Prime Factorization of 68600

Prime factors of 68600 are 2, 5, 7. Prime factorization of 68600 in exponential form is:

68600 = 2³ × 5² × 7³

Step-3: Factors of 68585

List of positive integer factors of 68585 that divides 68585 without a remainder.

1, 5, 11, 29, 43, 55, 145, 215, 319, 473, 1247, 1595, 2365, 6235, 13717

Step-4: Factors of 68600

List of positive integer factors of 68600 that divides 68585 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 343, 350, 392, 490, 686, 700, 980, 1225, 1372, 1400, 1715, 1960, 2450, 2744, 3430, 4900, 6860, 8575, 9800, 13720, 17150, 34300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68585 and 68600. The biggest common factor number is the GCF number.
So the greatest common factor 68585 and 68600 is 5.

Also check out the Least Common Multiple of 68585 and 68600