What is the Greatest Common Factor of 58496 and 58505?

Greatest common factor (GCF) of 58496 and 58505 is 1.

GCF(58496,58505) = 1

We will now calculate the prime factors of 58496 and 58505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58496 and 58505.

How to find the GCF of 58496 and 58505?

We will first find the prime factorization of 58496 and 58505. After we will calculate the factors of 58496 and 58505 and find the biggest common factor number .

Step-1: Prime Factorization of 58496

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

58496 = 2⁷ × 457¹

Step-2: Prime Factorization of 58505

Prime factors of 58505 are 5, 11701. Prime factorization of 58505 in exponential form is:

58505 = 5¹ × 11701¹

Step-3: Factors of 58496

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

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

Step-4: Factors of 58505

List of positive integer factors of 58505 that divides 58496 without a remainder.

1, 5, 11701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58496 and 58505. The biggest common factor number is the GCF number.
So the greatest common factor 58496 and 58505 is 1.

Also check out the Least Common Multiple of 58496 and 58505