What is the Greatest Common Factor of 58474 and 58478?

Greatest common factor (GCF) of 58474 and 58478 is 2.

GCF(58474,58478) = 2

We will now calculate the prime factors of 58474 and 58478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58474 and 58478.

How to find the GCF of 58474 and 58478?

We will first find the prime factorization of 58474 and 58478. After we will calculate the factors of 58474 and 58478 and find the biggest common factor number .

Step-1: Prime Factorization of 58474

Prime factors of 58474 are 2, 13, 173. Prime factorization of 58474 in exponential form is:

58474 = 2¹ × 13² × 173¹

Step-2: Prime Factorization of 58478

Prime factors of 58478 are 2, 7, 4177. Prime factorization of 58478 in exponential form is:

58478 = 2¹ × 7¹ × 4177¹

Step-3: Factors of 58474

List of positive integer factors of 58474 that divides 58474 without a remainder.

1, 2, 13, 26, 169, 173, 338, 346, 2249, 4498, 29237

Step-4: Factors of 58478

List of positive integer factors of 58478 that divides 58474 without a remainder.

1, 2, 7, 14, 4177, 8354, 29239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58474 and 58478. The biggest common factor number is the GCF number.
So the greatest common factor 58474 and 58478 is 2.

Also check out the Least Common Multiple of 58474 and 58478