What is the Greatest Common Factor of 58590 and 58606?

Greatest common factor (GCF) of 58590 and 58606 is 2.

GCF(58590,58606) = 2

We will now calculate the prime factors of 58590 and 58606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58590 and 58606.

How to find the GCF of 58590 and 58606?

We will first find the prime factorization of 58590 and 58606. After we will calculate the factors of 58590 and 58606 and find the biggest common factor number .

Step-1: Prime Factorization of 58590

Prime factors of 58590 are 2, 3, 5, 7, 31. Prime factorization of 58590 in exponential form is:

58590 = 2¹ × 3³ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 58606

Prime factors of 58606 are 2, 29303. Prime factorization of 58606 in exponential form is:

58606 = 2¹ × 29303¹

Step-3: Factors of 58590

List of positive integer factors of 58590 that divides 58590 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 31, 35, 42, 45, 54, 62, 63, 70, 90, 93, 105, 126, 135, 155, 186, 189, 210, 217, 270, 279, 310, 315, 378, 434, 465, 558, 630, 651, 837, 930, 945, 1085, 1302, 1395, 1674, 1890, 1953, 2170, 2790, 3255, 3906, 4185, 5859, 6510, 8370, 9765, 11718, 19530, 29295

Step-4: Factors of 58606

List of positive integer factors of 58606 that divides 58590 without a remainder.

1, 2, 29303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58590 and 58606. The biggest common factor number is the GCF number.
So the greatest common factor 58590 and 58606 is 2.

Also check out the Least Common Multiple of 58590 and 58606