What is the Greatest Common Factor of 73080 and 73091?

Greatest common factor (GCF) of 73080 and 73091 is 1.

GCF(73080,73091) = 1

We will now calculate the prime factors of 73080 and 73091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73080 and 73091.

How to find the GCF of 73080 and 73091?

We will first find the prime factorization of 73080 and 73091. After we will calculate the factors of 73080 and 73091 and find the biggest common factor number .

Step-1: Prime Factorization of 73080

Prime factors of 73080 are 2, 3, 5, 7, 29. Prime factorization of 73080 in exponential form is:

73080 = 2³ × 3² × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 73091

Prime factors of 73091 are 73091. Prime factorization of 73091 in exponential form is:

73091 = 73091¹

Step-3: Factors of 73080

List of positive integer factors of 73080 that divides 73080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 29, 30, 35, 36, 40, 42, 45, 56, 58, 60, 63, 70, 72, 84, 87, 90, 105, 116, 120, 126, 140, 145, 168, 174, 180, 203, 210, 232, 252, 261, 280, 290, 315, 348, 360, 406, 420, 435, 504, 522, 580, 609, 630, 696, 812, 840, 870, 1015, 1044, 1160, 1218, 1260, 1305, 1624, 1740, 1827, 2030, 2088, 2436, 2520, 2610, 3045, 3480, 3654, 4060, 4872, 5220, 6090, 7308, 8120, 9135, 10440, 12180, 14616, 18270, 24360, 36540

Step-4: Factors of 73091

List of positive integer factors of 73091 that divides 73080 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73080 and 73091. The biggest common factor number is the GCF number.
So the greatest common factor 73080 and 73091 is 1.

Also check out the Least Common Multiple of 73080 and 73091