What is the Greatest Common Factor of 59261 and 59280?

Greatest common factor (GCF) of 59261 and 59280 is 19.

GCF(59261,59280) = 19

We will now calculate the prime factors of 59261 and 59280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59261 and 59280.

How to find the GCF of 59261 and 59280?

We will first find the prime factorization of 59261 and 59280. After we will calculate the factors of 59261 and 59280 and find the biggest common factor number .

Step-1: Prime Factorization of 59261

Prime factors of 59261 are 19, 3119. Prime factorization of 59261 in exponential form is:

59261 = 19¹ × 3119¹

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 59261

List of positive integer factors of 59261 that divides 59261 without a remainder.

1, 19, 3119

Step-4: Factors of 59280

List of positive integer factors of 59280 that divides 59261 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 59261 and 59280. The biggest common factor number is the GCF number.
So the greatest common factor 59261 and 59280 is 19.

Also check out the Least Common Multiple of 59261 and 59280