What is the Greatest Common Factor of 58368 and 58380?

Greatest common factor (GCF) of 58368 and 58380 is 12.

GCF(58368,58380) = 12

We will now calculate the prime factors of 58368 and 58380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58368 and 58380.

How to find the GCF of 58368 and 58380?

We will first find the prime factorization of 58368 and 58380. After we will calculate the factors of 58368 and 58380 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 58380

Prime factors of 58380 are 2, 3, 5, 7, 139. Prime factorization of 58380 in exponential form is:

58380 = 2² × 3¹ × 5¹ × 7¹ × 139¹

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 58380

List of positive integer factors of 58380 that divides 58368 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 139, 140, 210, 278, 417, 420, 556, 695, 834, 973, 1390, 1668, 1946, 2085, 2780, 2919, 3892, 4170, 4865, 5838, 8340, 9730, 11676, 14595, 19460, 29190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58368 and 58380. The biggest common factor number is the GCF number.
So the greatest common factor 58368 and 58380 is 12.

Also check out the Least Common Multiple of 58368 and 58380