What is the Greatest Common Factor of 58 and 2?

Greatest common factor (GCF) of 58 and 2 is 2.

GCF(58,2) = 2

We will now calculate the prime factors of 58 and 2, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58 and 2.

How to find the GCF of 58 and 2?

We will first find the prime factorization of 58 and 2. After we will calculate the factors of 58 and 2 and find the biggest common factor number .

Step-1: Prime Factorization of 58

Prime factors of 58 are 2, 29. Prime factorization of 58 in exponential form is:

58 = 2¹ × 29¹

Step-2: Prime Factorization of 2

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

2 = 2¹

Step-3: Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1, 2, 29

Step-4: Factors of 2

List of positive integer factors of 2 that divides 58 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58 and 2. The biggest common factor number is the GCF number.
So the greatest common factor 58 and 2 is 2.

Also check out the Least Common Multiple of 58 and 2