What is the Greatest Common Factor of 59280 and 59292?

Greatest common factor (GCF) of 59280 and 59292 is 12.

GCF(59280,59292) = 12

We will now calculate the prime factors of 59280 and 59292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59280 and 59292.

How to find the GCF of 59280 and 59292?

We will first find the prime factorization of 59280 and 59292. After we will calculate the factors of 59280 and 59292 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 59292

Prime factors of 59292 are 2, 3, 61. Prime factorization of 59292 in exponential form is:

59292 = 2² × 3⁵ × 61¹

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 59292

List of positive integer factors of 59292 that divides 59280 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 81, 108, 122, 162, 183, 243, 244, 324, 366, 486, 549, 732, 972, 1098, 1647, 2196, 3294, 4941, 6588, 9882, 14823, 19764, 29646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59280 and 59292. The biggest common factor number is the GCF number.
So the greatest common factor 59280 and 59292 is 12.

Also check out the Least Common Multiple of 59280 and 59292