What is the Greatest Common Factor of 68584 and 68600?

Greatest common factor (GCF) of 68584 and 68600 is 8.

GCF(68584,68600) = 8

We will now calculate the prime factors of 68584 and 68600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68584 and 68600.

How to find the GCF of 68584 and 68600?

We will first find the prime factorization of 68584 and 68600. After we will calculate the factors of 68584 and 68600 and find the biggest common factor number .

Step-1: Prime Factorization of 68584

Prime factors of 68584 are 2, 8573. Prime factorization of 68584 in exponential form is:

68584 = 2³ × 8573¹

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 68584

List of positive integer factors of 68584 that divides 68584 without a remainder.

1, 2, 4, 8, 8573, 17146, 34292

Step-4: Factors of 68600

List of positive integer factors of 68600 that divides 68584 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 68584 and 68600. The biggest common factor number is the GCF number.
So the greatest common factor 68584 and 68600 is 8.

Also check out the Least Common Multiple of 68584 and 68600