What is the Greatest Common Factor of 58352 and 58368?

Greatest common factor (GCF) of 58352 and 58368 is 16.

GCF(58352,58368) = 16

We will now calculate the prime factors of 58352 and 58368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58352 and 58368.

How to find the GCF of 58352 and 58368?

We will first find the prime factorization of 58352 and 58368. After we will calculate the factors of 58352 and 58368 and find the biggest common factor number .

Step-1: Prime Factorization of 58352

Prime factors of 58352 are 2, 7, 521. Prime factorization of 58352 in exponential form is:

58352 = 2⁴ × 7¹ × 521¹

Step-2: 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-3: Factors of 58352

List of positive integer factors of 58352 that divides 58352 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 521, 1042, 2084, 3647, 4168, 7294, 8336, 14588, 29176

Step-4: Factors of 58368

List of positive integer factors of 58368 that divides 58352 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58352 and 58368. The biggest common factor number is the GCF number.
So the greatest common factor 58352 and 58368 is 16.

Also check out the Least Common Multiple of 58352 and 58368