What is the Greatest Common Factor of 58496 and 58500?

Greatest common factor (GCF) of 58496 and 58500 is 4.

GCF(58496,58500) = 4

We will now calculate the prime factors of 58496 and 58500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58496 and 58500.

How to find the GCF of 58496 and 58500?

We will first find the prime factorization of 58496 and 58500. After we will calculate the factors of 58496 and 58500 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 58500

Prime factors of 58500 are 2, 3, 5, 13. Prime factorization of 58500 in exponential form is:

58500 = 2² × 3² × 5³ × 13¹

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 58500

List of positive integer factors of 58500 that divides 58496 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 125, 130, 150, 156, 180, 195, 225, 234, 250, 260, 300, 325, 375, 390, 450, 468, 500, 585, 650, 750, 780, 900, 975, 1125, 1170, 1300, 1500, 1625, 1950, 2250, 2340, 2925, 3250, 3900, 4500, 4875, 5850, 6500, 9750, 11700, 14625, 19500, 29250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58496 and 58500. The biggest common factor number is the GCF number.
So the greatest common factor 58496 and 58500 is 4.

Also check out the Least Common Multiple of 58496 and 58500