What is the Greatest Common Factor of 58368 and 58382?

Greatest common factor (GCF) of 58368 and 58382 is 2.

GCF(58368,58382) = 2

We will now calculate the prime factors of 58368 and 58382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58368 and 58382.

How to find the GCF of 58368 and 58382?

We will first find the prime factorization of 58368 and 58382. After we will calculate the factors of 58368 and 58382 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 58382

Prime factors of 58382 are 2, 29191. Prime factorization of 58382 in exponential form is:

58382 = 2¹ × 29191¹

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 58382

List of positive integer factors of 58382 that divides 58368 without a remainder.

1, 2, 29191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58368 and 58382. The biggest common factor number is the GCF number.
So the greatest common factor 58368 and 58382 is 2.

Also check out the Least Common Multiple of 58368 and 58382