What is the Greatest Common Factor of 72568 and 72578?

Greatest common factor (GCF) of 72568 and 72578 is 2.

GCF(72568,72578) = 2

We will now calculate the prime factors of 72568 and 72578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72568 and 72578.

How to find the GCF of 72568 and 72578?

We will first find the prime factorization of 72568 and 72578. After we will calculate the factors of 72568 and 72578 and find the biggest common factor number .

Step-1: Prime Factorization of 72568

Prime factors of 72568 are 2, 47, 193. Prime factorization of 72568 in exponential form is:

72568 = 2³ × 47¹ × 193¹

Step-2: Prime Factorization of 72578

Prime factors of 72578 are 2, 11, 3299. Prime factorization of 72578 in exponential form is:

72578 = 2¹ × 11¹ × 3299¹

Step-3: Factors of 72568

List of positive integer factors of 72568 that divides 72568 without a remainder.

1, 2, 4, 8, 47, 94, 188, 193, 376, 386, 772, 1544, 9071, 18142, 36284

Step-4: Factors of 72578

List of positive integer factors of 72578 that divides 72568 without a remainder.

1, 2, 11, 22, 3299, 6598, 36289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72568 and 72578. The biggest common factor number is the GCF number.
So the greatest common factor 72568 and 72578 is 2.

Also check out the Least Common Multiple of 72568 and 72578