What is the Greatest Common Factor of 68584 and 68592?

Greatest common factor (GCF) of 68584 and 68592 is 8.

GCF(68584,68592) = 8

We will now calculate the prime factors of 68584 and 68592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68584 and 68592.

How to find the GCF of 68584 and 68592?

We will first find the prime factorization of 68584 and 68592. After we will calculate the factors of 68584 and 68592 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 68592

Prime factors of 68592 are 2, 3, 1429. Prime factorization of 68592 in exponential form is:

68592 = 2⁴ × 3¹ × 1429¹

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 68592

List of positive integer factors of 68592 that divides 68584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1429, 2858, 4287, 5716, 8574, 11432, 17148, 22864, 34296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68584 and 68592. The biggest common factor number is the GCF number.
So the greatest common factor 68584 and 68592 is 8.

Also check out the Least Common Multiple of 68584 and 68592