What is the Greatest Common Factor of 58368 and 58387?

Greatest common factor (GCF) of 58368 and 58387 is 19.

GCF(58368,58387) = 19

We will now calculate the prime factors of 58368 and 58387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58368 and 58387.

How to find the GCF of 58368 and 58387?

We will first find the prime factorization of 58368 and 58387. After we will calculate the factors of 58368 and 58387 and find the biggest common factor number .

Step-1: Prime Factorization of 58368

Prime factors of 58368 are 2, 3, 19. Prime factorization of 58368 in exponential form is:

58368 = 2¹⁰ × 3¹ × 19¹

Step-2: Prime Factorization of 58387

Prime factors of 58387 are 7, 19, 439. Prime factorization of 58387 in exponential form is:

58387 = 7¹ × 19¹ × 439¹

Step-3: Factors of 58368

List of positive integer factors of 58368 that divides 58368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 256, 304, 384, 456, 512, 608, 768, 912, 1024, 1216, 1536, 1824, 2432, 3072, 3648, 4864, 7296, 9728, 14592, 19456, 29184

Step-4: Factors of 58387

List of positive integer factors of 58387 that divides 58368 without a remainder.

1, 7, 19, 133, 439, 3073, 8341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58368 and 58387. The biggest common factor number is the GCF number.
So the greatest common factor 58368 and 58387 is 19.

Also check out the Least Common Multiple of 58368 and 58387