What is the Greatest Common Factor of 59274 and 59280?

Greatest common factor (GCF) of 59274 and 59280 is 6.

GCF(59274,59280) = 6

We will now calculate the prime factors of 59274 and 59280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59274 and 59280.

How to find the GCF of 59274 and 59280?

We will first find the prime factorization of 59274 and 59280. After we will calculate the factors of 59274 and 59280 and find the biggest common factor number .

Step-1: Prime Factorization of 59274

Prime factors of 59274 are 2, 3, 37, 89. Prime factorization of 59274 in exponential form is:

59274 = 2¹ × 3² × 37¹ × 89¹

Step-2: 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-3: Factors of 59274

List of positive integer factors of 59274 that divides 59274 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 89, 111, 178, 222, 267, 333, 534, 666, 801, 1602, 3293, 6586, 9879, 19758, 29637

Step-4: Factors of 59280

List of positive integer factors of 59280 that divides 59274 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59274 and 59280. The biggest common factor number is the GCF number.
So the greatest common factor 59274 and 59280 is 6.

Also check out the Least Common Multiple of 59274 and 59280