What is the Greatest Common Factor of 58574 and 58586?

Greatest common factor (GCF) of 58574 and 58586 is 2.

GCF(58574,58586) = 2

We will now calculate the prime factors of 58574 and 58586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58574 and 58586.

How to find the GCF of 58574 and 58586?

We will first find the prime factorization of 58574 and 58586. After we will calculate the factors of 58574 and 58586 and find the biggest common factor number .

Step-1: Prime Factorization of 58574

Prime factors of 58574 are 2, 29287. Prime factorization of 58574 in exponential form is:

58574 = 2¹ × 29287¹

Step-2: Prime Factorization of 58586

Prime factors of 58586 are 2, 11, 2663. Prime factorization of 58586 in exponential form is:

58586 = 2¹ × 11¹ × 2663¹

Step-3: Factors of 58574

List of positive integer factors of 58574 that divides 58574 without a remainder.

1, 2, 29287

Step-4: Factors of 58586

List of positive integer factors of 58586 that divides 58574 without a remainder.

1, 2, 11, 22, 2663, 5326, 29293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58574 and 58586. The biggest common factor number is the GCF number.
So the greatest common factor 58574 and 58586 is 2.

Also check out the Least Common Multiple of 58574 and 58586