What is the Greatest Common Factor of 58558 and 58574?

Greatest common factor (GCF) of 58558 and 58574 is 2.

GCF(58558,58574) = 2

We will now calculate the prime factors of 58558 and 58574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58558 and 58574.

How to find the GCF of 58558 and 58574?

We will first find the prime factorization of 58558 and 58574. After we will calculate the factors of 58558 and 58574 and find the biggest common factor number .

Step-1: Prime Factorization of 58558

Prime factors of 58558 are 2, 19, 23, 67. Prime factorization of 58558 in exponential form is:

58558 = 2¹ × 19¹ × 23¹ × 67¹

Step-2: Prime Factorization of 58574

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

58574 = 2¹ × 29287¹

Step-3: Factors of 58558

List of positive integer factors of 58558 that divides 58558 without a remainder.

1, 2, 19, 23, 38, 46, 67, 134, 437, 874, 1273, 1541, 2546, 3082, 29279

Step-4: Factors of 58574

List of positive integer factors of 58574 that divides 58558 without a remainder.

1, 2, 29287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58558 and 58574. The biggest common factor number is the GCF number.
So the greatest common factor 58558 and 58574 is 2.

Also check out the Least Common Multiple of 58558 and 58574