What is the Greatest Common Factor of 73080 and 73092?

Greatest common factor (GCF) of 73080 and 73092 is 12.

GCF(73080,73092) = 12

We will now calculate the prime factors of 73080 and 73092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73080 and 73092.

How to find the GCF of 73080 and 73092?

We will first find the prime factorization of 73080 and 73092. After we will calculate the factors of 73080 and 73092 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 73092

Prime factors of 73092 are 2, 3, 6091. Prime factorization of 73092 in exponential form is:

73092 = 2² × 3¹ × 6091¹

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 73092

List of positive integer factors of 73092 that divides 73080 without a remainder.

1, 2, 3, 4, 6, 12, 6091, 12182, 18273, 24364, 36546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73080 and 73092. The biggest common factor number is the GCF number.
So the greatest common factor 73080 and 73092 is 12.

Also check out the Least Common Multiple of 73080 and 73092