What is the Greatest Common Factor of 68584 and 68598?

Greatest common factor (GCF) of 68584 and 68598 is 2.

GCF(68584,68598) = 2

We will now calculate the prime factors of 68584 and 68598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68584 and 68598.

How to find the GCF of 68584 and 68598?

We will first find the prime factorization of 68584 and 68598. After we will calculate the factors of 68584 and 68598 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 68598

Prime factors of 68598 are 2, 3, 37, 103. Prime factorization of 68598 in exponential form is:

68598 = 2¹ × 3² × 37¹ × 103¹

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 68598

List of positive integer factors of 68598 that divides 68584 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 103, 111, 206, 222, 309, 333, 618, 666, 927, 1854, 3811, 7622, 11433, 22866, 34299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68584 and 68598. The biggest common factor number is the GCF number.
So the greatest common factor 68584 and 68598 is 2.

Also check out the Least Common Multiple of 68584 and 68598