What is the Greatest Common Factor of 58479 and 58496?

Greatest common factor (GCF) of 58479 and 58496 is 1.

GCF(58479,58496) = 1

We will now calculate the prime factors of 58479 and 58496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58479 and 58496.

How to find the GCF of 58479 and 58496?

We will first find the prime factorization of 58479 and 58496. After we will calculate the factors of 58479 and 58496 and find the biggest common factor number .

Step-1: Prime Factorization of 58479

Prime factors of 58479 are 3, 101, 193. Prime factorization of 58479 in exponential form is:

58479 = 3¹ × 101¹ × 193¹

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 58479

List of positive integer factors of 58479 that divides 58479 without a remainder.

1, 3, 101, 193, 303, 579, 19493

Step-4: Factors of 58496

List of positive integer factors of 58496 that divides 58479 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 58479 and 58496. The biggest common factor number is the GCF number.
So the greatest common factor 58479 and 58496 is 1.

Also check out the Least Common Multiple of 58479 and 58496