What is the Greatest Common Factor of 59280 and 59286?

Greatest common factor (GCF) of 59280 and 59286 is 6.

GCF(59280,59286) = 6

We will now calculate the prime factors of 59280 and 59286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59280 and 59286.

How to find the GCF of 59280 and 59286?

We will first find the prime factorization of 59280 and 59286. After we will calculate the factors of 59280 and 59286 and find the biggest common factor number .

Step-1: Prime Factorization of 59280

Prime factors of 59280 are 2, 3, 5, 13, 19. Prime factorization of 59280 in exponential form is:

59280 = 2⁴ × 3¹ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 59286

Prime factors of 59286 are 2, 3, 41, 241. Prime factorization of 59286 in exponential form is:

59286 = 2¹ × 3¹ × 41¹ × 241¹

Step-3: Factors of 59280

List of positive integer factors of 59280 that divides 59280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 19, 20, 24, 26, 30, 38, 39, 40, 48, 52, 57, 60, 65, 76, 78, 80, 95, 104, 114, 120, 130, 152, 156, 190, 195, 208, 228, 240, 247, 260, 285, 304, 312, 380, 390, 456, 494, 520, 570, 624, 741, 760, 780, 912, 988, 1040, 1140, 1235, 1482, 1520, 1560, 1976, 2280, 2470, 2964, 3120, 3705, 3952, 4560, 4940, 5928, 7410, 9880, 11856, 14820, 19760, 29640

Step-4: Factors of 59286

List of positive integer factors of 59286 that divides 59280 without a remainder.

1, 2, 3, 6, 41, 82, 123, 241, 246, 482, 723, 1446, 9881, 19762, 29643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59280 and 59286. The biggest common factor number is the GCF number.
So the greatest common factor 59280 and 59286 is 6.

Also check out the Least Common Multiple of 59280 and 59286