What is the Greatest Common Factor of 58368 and 58388?

Greatest common factor (GCF) of 58368 and 58388 is 4.

GCF(58368,58388) = 4

We will now calculate the prime factors of 58368 and 58388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58368 and 58388.

How to find the GCF of 58368 and 58388?

We will first find the prime factorization of 58368 and 58388. After we will calculate the factors of 58368 and 58388 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 58388

Prime factors of 58388 are 2, 11, 1327. Prime factorization of 58388 in exponential form is:

58388 = 2² × 11¹ × 1327¹

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 58388

List of positive integer factors of 58388 that divides 58368 without a remainder.

1, 2, 4, 11, 22, 44, 1327, 2654, 5308, 14597, 29194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58368 and 58388. The biggest common factor number is the GCF number.
So the greatest common factor 58368 and 58388 is 4.

Also check out the Least Common Multiple of 58368 and 58388