What is the Greatest Common Factor of 59280 and 59287?

Greatest common factor (GCF) of 59280 and 59287 is 1.

GCF(59280,59287) = 1

We will now calculate the prime factors of 59280 and 59287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59280 and 59287.

How to find the GCF of 59280 and 59287?

We will first find the prime factorization of 59280 and 59287. After we will calculate the factors of 59280 and 59287 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 59287

Prime factors of 59287 are 101, 587. Prime factorization of 59287 in exponential form is:

59287 = 101¹ × 587¹

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 59287

List of positive integer factors of 59287 that divides 59280 without a remainder.

1, 101, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59280 and 59287. The biggest common factor number is the GCF number.
So the greatest common factor 59280 and 59287 is 1.

Also check out the Least Common Multiple of 59280 and 59287