What is the Greatest Common Factor of 59415 and 59424?

Greatest common factor (GCF) of 59415 and 59424 is 3.

GCF(59415,59424) = 3

We will now calculate the prime factors of 59415 and 59424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59415 and 59424.

How to find the GCF of 59415 and 59424?

We will first find the prime factorization of 59415 and 59424. After we will calculate the factors of 59415 and 59424 and find the biggest common factor number .

Step-1: Prime Factorization of 59415

Prime factors of 59415 are 3, 5, 17, 233. Prime factorization of 59415 in exponential form is:

59415 = 3¹ × 5¹ × 17¹ × 233¹

Step-2: Prime Factorization of 59424

Prime factors of 59424 are 2, 3, 619. Prime factorization of 59424 in exponential form is:

59424 = 2⁵ × 3¹ × 619¹

Step-3: Factors of 59415

List of positive integer factors of 59415 that divides 59415 without a remainder.

1, 3, 5, 15, 17, 51, 85, 233, 255, 699, 1165, 3495, 3961, 11883, 19805

Step-4: Factors of 59424

List of positive integer factors of 59424 that divides 59415 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 619, 1238, 1857, 2476, 3714, 4952, 7428, 9904, 14856, 19808, 29712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59415 and 59424. The biggest common factor number is the GCF number.
So the greatest common factor 59415 and 59424 is 3.

Also check out the Least Common Multiple of 59415 and 59424