What is the Greatest Common Factor of 58216 and 58234?

Greatest common factor (GCF) of 58216 and 58234 is 2.

GCF(58216,58234) = 2

We will now calculate the prime factors of 58216 and 58234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58216 and 58234.

How to find the GCF of 58216 and 58234?

We will first find the prime factorization of 58216 and 58234. After we will calculate the factors of 58216 and 58234 and find the biggest common factor number .

Step-1: Prime Factorization of 58216

Prime factors of 58216 are 2, 19, 383. Prime factorization of 58216 in exponential form is:

58216 = 2³ × 19¹ × 383¹

Step-2: Prime Factorization of 58234

Prime factors of 58234 are 2, 11, 2647. Prime factorization of 58234 in exponential form is:

58234 = 2¹ × 11¹ × 2647¹

Step-3: Factors of 58216

List of positive integer factors of 58216 that divides 58216 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 383, 766, 1532, 3064, 7277, 14554, 29108

Step-4: Factors of 58234

List of positive integer factors of 58234 that divides 58216 without a remainder.

1, 2, 11, 22, 2647, 5294, 29117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58216 and 58234. The biggest common factor number is the GCF number.
So the greatest common factor 58216 and 58234 is 2.

Also check out the Least Common Multiple of 58216 and 58234