What is the Greatest Common Factor of 59600 and 59614?

Greatest common factor (GCF) of 59600 and 59614 is 2.

GCF(59600,59614) = 2

We will now calculate the prime factors of 59600 and 59614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59600 and 59614.

How to find the GCF of 59600 and 59614?

We will first find the prime factorization of 59600 and 59614. After we will calculate the factors of 59600 and 59614 and find the biggest common factor number .

Step-1: Prime Factorization of 59600

Prime factors of 59600 are 2, 5, 149. Prime factorization of 59600 in exponential form is:

59600 = 2⁴ × 5² × 149¹

Step-2: Prime Factorization of 59614

Prime factors of 59614 are 2, 41, 727. Prime factorization of 59614 in exponential form is:

59614 = 2¹ × 41¹ × 727¹

Step-3: Factors of 59600

List of positive integer factors of 59600 that divides 59600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 149, 200, 298, 400, 596, 745, 1192, 1490, 2384, 2980, 3725, 5960, 7450, 11920, 14900, 29800

Step-4: Factors of 59614

List of positive integer factors of 59614 that divides 59600 without a remainder.

1, 2, 41, 82, 727, 1454, 29807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59600 and 59614. The biggest common factor number is the GCF number.
So the greatest common factor 59600 and 59614 is 2.

Also check out the Least Common Multiple of 59600 and 59614