What is the Greatest Common Factor of 59590 and 59608?

Greatest common factor (GCF) of 59590 and 59608 is 2.

GCF(59590,59608) = 2

We will now calculate the prime factors of 59590 and 59608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59590 and 59608.

How to find the GCF of 59590 and 59608?

We will first find the prime factorization of 59590 and 59608. After we will calculate the factors of 59590 and 59608 and find the biggest common factor number .

Step-1: Prime Factorization of 59590

Prime factors of 59590 are 2, 5, 59, 101. Prime factorization of 59590 in exponential form is:

59590 = 2¹ × 5¹ × 59¹ × 101¹

Step-2: Prime Factorization of 59608

Prime factors of 59608 are 2, 7451. Prime factorization of 59608 in exponential form is:

59608 = 2³ × 7451¹

Step-3: Factors of 59590

List of positive integer factors of 59590 that divides 59590 without a remainder.

1, 2, 5, 10, 59, 101, 118, 202, 295, 505, 590, 1010, 5959, 11918, 29795

Step-4: Factors of 59608

List of positive integer factors of 59608 that divides 59590 without a remainder.

1, 2, 4, 8, 7451, 14902, 29804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59590 and 59608. The biggest common factor number is the GCF number.
So the greatest common factor 59590 and 59608 is 2.

Also check out the Least Common Multiple of 59590 and 59608