What is the Greatest Common Factor of 58478 and 58496?

Greatest common factor (GCF) of 58478 and 58496 is 2.

GCF(58478,58496) = 2

We will now calculate the prime factors of 58478 and 58496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58478 and 58496.

How to find the GCF of 58478 and 58496?

We will first find the prime factorization of 58478 and 58496. After we will calculate the factors of 58478 and 58496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58496

Prime factors of 58496 are 2, 457. Prime factorization of 58496 in exponential form is:

58496 = 2⁷ × 457¹

Step-3: Factors of 58478

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

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

Step-4: Factors of 58496

List of positive integer factors of 58496 that divides 58478 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 457, 914, 1828, 3656, 7312, 14624, 29248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58478 and 58496. The biggest common factor number is the GCF number.
So the greatest common factor 58478 and 58496 is 2.

Also check out the Least Common Multiple of 58478 and 58496