What is the Greatest Common Factor of 59572 and 59590?

Greatest common factor (GCF) of 59572 and 59590 is 2.

GCF(59572,59590) = 2

We will now calculate the prime factors of 59572 and 59590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59572 and 59590.

How to find the GCF of 59572 and 59590?

We will first find the prime factorization of 59572 and 59590. After we will calculate the factors of 59572 and 59590 and find the biggest common factor number .

Step-1: Prime Factorization of 59572

Prime factors of 59572 are 2, 53, 281. Prime factorization of 59572 in exponential form is:

59572 = 2² × 53¹ × 281¹

Step-2: 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-3: Factors of 59572

List of positive integer factors of 59572 that divides 59572 without a remainder.

1, 2, 4, 53, 106, 212, 281, 562, 1124, 14893, 29786

Step-4: Factors of 59590

List of positive integer factors of 59590 that divides 59572 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59572 and 59590. The biggest common factor number is the GCF number.
So the greatest common factor 59572 and 59590 is 2.

Also check out the Least Common Multiple of 59572 and 59590