What is the Greatest Common Factor of 58312 and 58318?

Greatest common factor (GCF) of 58312 and 58318 is 2.

GCF(58312,58318) = 2

We will now calculate the prime factors of 58312 and 58318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58312 and 58318.

How to find the GCF of 58312 and 58318?

We will first find the prime factorization of 58312 and 58318. After we will calculate the factors of 58312 and 58318 and find the biggest common factor number .

Step-1: Prime Factorization of 58312

Prime factors of 58312 are 2, 37, 197. Prime factorization of 58312 in exponential form is:

58312 = 2³ × 37¹ × 197¹

Step-2: Prime Factorization of 58318

Prime factors of 58318 are 2, 13, 2243. Prime factorization of 58318 in exponential form is:

58318 = 2¹ × 13¹ × 2243¹

Step-3: Factors of 58312

List of positive integer factors of 58312 that divides 58312 without a remainder.

1, 2, 4, 8, 37, 74, 148, 197, 296, 394, 788, 1576, 7289, 14578, 29156

Step-4: Factors of 58318

List of positive integer factors of 58318 that divides 58312 without a remainder.

1, 2, 13, 26, 2243, 4486, 29159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58312 and 58318. The biggest common factor number is the GCF number.
So the greatest common factor 58312 and 58318 is 2.

Also check out the Least Common Multiple of 58312 and 58318